diff --git a/README.md b/README.md
index dc20287..9374ea3 100644
--- a/README.md
+++ b/README.md
@@ -17,7 +17,7 @@ go install github.com/eyra/flux-cli@latest
 ### Agent skill
 
 The binary carries the flux skill for AI coding agents. Install it for the
-agents you use, and rerun after upgrading flux:
+agents you use:
 
 ```bash
 flux install claude   # Claude Code: ~/.claude/skills/flux (CLAUDE_CONFIG_DIR replaces ~/.claude)
@@ -30,6 +30,11 @@ available to omp too. A `SKILL.md` that differs from the installed version is
 first backed up to `SKILL.md.bak-<time>`. A symlinked skill folder or file is
 left alone, and the command fails.
 
+`flux update` refreshes the skill for every agent that has one, from the
+updated binary, even when the binary is already up to date; `--no-skill` skips
+this. A symlinked skill is skipped. Rerun `flux install` after `brew upgrade`
+or `go install`.
+
 ## Usage
 
 ### List issues
diff --git a/cmd/install.go b/cmd/install.go
index 3590d57..bc5ec2d 100644
--- a/cmd/install.go
+++ b/cmd/install.go
@@ -26,30 +26,75 @@ its personal skills:
 omp also reads ~/.agents/skills, so "flux install codex" makes the skill
 available to omp too.
 
-Rerun after upgrading flux to update the skill. A SKILL.md that differs from
-this version is first backed up to SKILL.md.bak-<time>.`,
+"flux update" refreshes the skills you installed; rerun after "brew upgrade" or
+"go install". A SKILL.md that differs from this version is first backed up to
+SKILL.md.bak-<time>.`,
 }
 
-// installTarget returns the command that installs the skill into
-// <root>/skills/flux, where root is $envVar or else ~/defaultRoot.
-func installTarget(name, short, long, envVar, defaultRoot string) *cobra.Command {
+// agent is a coding agent that reads personal skills from <root>/skills, where
+// root is $envVar or else ~/defaultRoot.
+type agent struct {
+	name, envVar, defaultRoot, short, long string
+}
+
+var agents = []agent{
+	{"claude", "CLAUDE_CONFIG_DIR", ".claude", "Install the flux skill for Claude Code",
+		`Install the flux skill into ~/.claude/skills/flux, where Claude Code reads
+personal skills. CLAUDE_CONFIG_DIR replaces ~/.claude.`},
+	{"omp", "PI_CODING_AGENT_DIR", filepath.Join(".omp", "agent"), "Install the flux skill for omp (oh-my-pi)",
+		`Install the flux skill into ~/.omp/agent/skills/flux, omp's own skills
+folder, which takes priority over every other skill location.
+PI_CODING_AGENT_DIR replaces ~/.omp/agent.
+
+"flux install codex" already makes the skill available to omp, through
+~/.agents/skills; use this command to give omp its own copy.`},
+	{"codex", "", ".agents", "Install the flux skill for Codex",
+		`Install the flux skill into ~/.agents/skills/flux, where Codex reads
+personal skills. omp and other agents that read ~/.agents/skills pick it up
+too.`},
+}
+
+func (a agent) root() (string, error) {
+	if a.envVar != "" {
+		if root := os.Getenv(a.envVar); root != "" {
+			return root, nil
+		}
+	}
+	home, err := os.UserHomeDir()
+	if err != nil {
+		return "", err
+	}
+	return filepath.Join(home, a.defaultRoot), nil
+}
+
+// skillPaths returns the skill folder and SKILL.md under root.
+func skillPaths(root string) (dir, path string) {
+	dir = filepath.Join(root, "skills", "flux")
+	return dir, filepath.Join(dir, "SKILL.md")
+}
+
+// skillSymlink returns the first of dir and path that is a symlink, or "".
+func skillSymlink(dir, path string) string {
+	for _, p := range []string{dir, path} {
+		if info, err := os.Lstat(p); err == nil && info.Mode()&fs.ModeSymlink != 0 {
+			return p
+		}
+	}
+	return ""
+}
+
+// installTarget returns the command that installs the skill for a.
+func installTarget(a agent) *cobra.Command {
 	return &cobra.Command{
-		Use:          name,
-		Short:        short,
-		Long:         long,
+		Use:          a.name,
+		Short:        a.short,
+		Long:         a.long,
 		Args:         cobra.NoArgs,
 		SilenceUsage: true,
 		RunE: func(cmd *cobra.Command, args []string) error {
-			root := ""
-			if envVar != "" {
-				root = os.Getenv(envVar)
-			}
-			if root == "" {
-				home, err := os.UserHomeDir()
-				if err != nil {
-					return err
-				}
-				root = filepath.Join(home, defaultRoot)
+			root, err := a.root()
+			if err != nil {
+				return err
 			}
 			path, backup, err := installSkill(root, skill.Markdown)
 			if err != nil {
@@ -78,13 +123,10 @@ func installTarget(name, short, long, envVar, defaultRoot string) *cobra.Command
 // symlinked skill folder or file is refused, so a link to a checkout of this
 // repository is never overwritten.
 func installSkill(root string, data []byte) (path, backup string, err error) {
-	dir := filepath.Join(root, "skills", "flux")
-	path = filepath.Join(dir, "SKILL.md")
-	for _, p := range []string{dir, path} {
-		if info, err := os.Lstat(p); err == nil && info.Mode()&fs.ModeSymlink != 0 {
-			target, _ := os.Readlink(p)
-			return "", "", fmt.Errorf("%s is a symlink to %s; remove it to install", p, target)
-		}
+	dir, path := skillPaths(root)
+	if link := skillSymlink(dir, path); link != "" {
+		target, _ := os.Readlink(link)
+		return "", "", fmt.Errorf("%s is a symlink to %s; remove it to install", link, target)
 	}
 	existing, err := os.ReadFile(path)
 	switch {
@@ -108,24 +150,8 @@ func installSkill(root string, data []byte) (path, backup string, err error) {
 }
 
 func init() {
-	installCmd.AddCommand(
-		installTarget("claude", "Install the flux skill for Claude Code",
-			`Install the flux skill into ~/.claude/skills/flux, where Claude Code reads
-personal skills. CLAUDE_CONFIG_DIR replaces ~/.claude.`,
-			"CLAUDE_CONFIG_DIR", ".claude"),
-		installTarget("omp", "Install the flux skill for omp (oh-my-pi)",
-			`Install the flux skill into ~/.omp/agent/skills/flux, omp's own skills
-folder, which takes priority over every other skill location.
-PI_CODING_AGENT_DIR replaces ~/.omp/agent.
-
-"flux install codex" already makes the skill available to omp, through
-~/.agents/skills; use this command to give omp its own copy.`,
-			"PI_CODING_AGENT_DIR", filepath.Join(".omp", "agent")),
-		installTarget("codex", "Install the flux skill for Codex",
-			`Install the flux skill into ~/.agents/skills/flux, where Codex reads
-personal skills. omp and other agents that read ~/.agents/skills pick it up
-too.`,
-			"", ".agents"),
-	)
+	for _, a := range agents {
+		installCmd.AddCommand(installTarget(a))
+	}
 	rootCmd.AddCommand(installCmd)
 }
diff --git a/cmd/update.go b/cmd/update.go
index a7215c3..6f53a8f 100644
--- a/cmd/update.go
+++ b/cmd/update.go
@@ -8,6 +8,7 @@ import (
 	"io"
 	"net/http"
 	"os"
+	"os/exec"
 	"path/filepath"
 	"runtime"
 	"strings"
@@ -19,6 +20,8 @@ const githubRepo = "eyra/flux-cli"
 
 var currentVersion = "dev"
 
+var noSkill bool
+
 func SetVersion(v string) {
 	currentVersion = v
 }
@@ -35,13 +38,6 @@ var updateCmd = &cobra.Command{
 			return fmt.Errorf("could not fetch latest release: %w", err)
 		}
 
-		if latest == currentVersion {
-			fmt.Printf("Already up to date (%s)\n", currentVersion)
-			return nil
-		}
-
-		fmt.Printf("Updating to %s...\n", latest)
-
 		execPath, err := os.Executable()
 		if err != nil {
 			return fmt.Errorf("could not determine executable path: %w", err)
@@ -51,11 +47,19 @@ var updateCmd = &cobra.Command{
 			return fmt.Errorf("could not resolve symlinks: %w", err)
 		}
 
-		if err := downloadAndReplace(downloadURL, execPath); err != nil {
-			return fmt.Errorf("update failed: %w", err)
+		if latest == currentVersion {
+			fmt.Printf("Already up to date (%s)\n", currentVersion)
+		} else {
+			fmt.Printf("Updating to %s...\n", latest)
+			if err := downloadAndReplace(downloadURL, execPath); err != nil {
+				return fmt.Errorf("update failed: %w", err)
+			}
+			fmt.Printf("✓ Updated to %s\n", latest)
 		}
 
-		fmt.Printf("✓ Updated to %s\n", latest)
+		if !noSkill {
+			refreshSkills(cmd.OutOrStdout(), cmd.ErrOrStderr(), execPath)
+		}
 		return nil
 	},
 }
@@ -99,6 +103,38 @@ func fetchLatestRelease() (tag, downloadURL string, err error) {
 	return "", "", fmt.Errorf("no release asset found for %s/%s", os_, arch)
 }
 
+// refreshSkills runs "<flux> install <agent>" for every agent that already has
+// the skill, so the skill comes from the binary at flux, not this process.
+// Symlinked skills are skipped; a failed install is only a warning, because
+// the binary itself was updated.
+func refreshSkills(stdout, stderr io.Writer, flux string) {
+	found := false
+	for _, a := range agents {
+		root, err := a.root()
+		if err != nil {
+			continue
+		}
+		dir, path := skillPaths(root)
+		if link := skillSymlink(dir, path); link != "" {
+			fmt.Fprintf(stdout, "Skipped %s: %s is a symlink\n", a.name, link)
+			found = true
+			continue
+		}
+		if _, err := os.Lstat(path); err != nil {
+			continue
+		}
+		found = true
+		install := exec.Command(flux, "install", a.name)
+		install.Stdout, install.Stderr = stdout, stderr
+		if err := install.Run(); err != nil {
+			fmt.Fprintf(stderr, "Warning: the flux skill for %s was not updated (%v)\n", a.name, err)
+		}
+	}
+	if !found {
+		fmt.Fprintln(stdout, "No flux skill installed; run flux install claude, omp or codex")
+	}
+}
+
 func downloadAndReplace(url, dest string) error {
 	resp, err := http.Get(url)
 	if err != nil {
@@ -148,5 +184,6 @@ func downloadAndReplace(url, dest string) error {
 }
 
 func init() {
+	updateCmd.Flags().BoolVar(&noSkill, "no-skill", false, "Don't refresh the installed flux skills")
 	rootCmd.AddCommand(updateCmd, versionCmd)
 }
diff --git a/cmd/update_test.go b/cmd/update_test.go
new file mode 100644
index 0000000..3f6486f
--- /dev/null
+++ b/cmd/update_test.go
@@ -0,0 +1,112 @@
+package cmd
+
+import (
+	"bytes"
+	"os"
+	"path/filepath"
+	"strings"
+	"testing"
+)
+
+func TestRefreshSkills(t *testing.T) {
+	const hint = "No flux skill installed; run flux install claude, omp or codex\n"
+	for _, tc := range []struct {
+		name  string
+		state map[string]string // agent → skill, folder, linkdir or linkfile
+		fail  string            // agent whose install exits 1
+		calls string
+		out   string // {claude}, {omp} and {codex} stand for the agent roots
+		warn  string
+	}{
+		{name: "nothing installed", out: hint},
+		{name: "claude only", state: map[string]string{"claude": "skill"},
+			calls: "install claude\n"},
+		{name: "all three", state: map[string]string{"claude": "skill", "omp": "skill", "codex": "skill"},
+			calls: "install claude\ninstall omp\ninstall codex\n"},
+		{name: "folder without SKILL.md", state: map[string]string{"claude": "folder"}, out: hint},
+		{name: "symlinked folder", state: map[string]string{"claude": "skill", "omp": "linkdir"},
+			calls: "install claude\n", out: "Skipped omp: {omp}/skills/flux is a symlink\n"},
+		{name: "symlinked SKILL.md only", state: map[string]string{"codex": "linkfile"},
+			out: "Skipped codex: {codex}/skills/flux/SKILL.md is a symlink\n"},
+		{name: "one install fails", state: map[string]string{"claude": "skill", "omp": "skill", "codex": "skill"},
+			fail: "omp", calls: "install claude\ninstall omp\ninstall codex\n",
+			warn: "Warning: the flux skill for omp was not updated (exit status 1)\n"},
+	} {
+		t.Run(tc.name, func(t *testing.T) {
+			isolateCommand(t)
+			bin := t.TempDir()
+			log := filepath.Join(bin, "calls")
+			flux := filepath.Join(bin, "flux")
+			script := "#!/bin/sh\necho \"$*\" >> \"$FAKE_LOG\"\n[ \"$2\" != \"$FAKE_FAIL\" ]\n"
+			if err := os.WriteFile(flux, []byte(script), 0755); err != nil {
+				t.Fatal(err)
+			}
+			t.Setenv("FAKE_LOG", log)
+			t.Setenv("FAKE_FAIL", tc.fail)
+			t.Setenv("CLAUDE_CONFIG_DIR", t.TempDir())
+			t.Setenv("PI_CODING_AGENT_DIR", t.TempDir())
+
+			roots := []string{}
+			for _, a := range agents {
+				root, err := a.root()
+				if err != nil {
+					t.Fatal(err)
+				}
+				roots = append(roots, "{"+a.name+"}", root)
+				dir, path := skillPaths(root)
+				switch tc.state[a.name] {
+				case "skill":
+					mustWrite(t, path)
+				case "folder":
+					mkdir(t, dir)
+				case "linkdir":
+					checkout := t.TempDir()
+					mustWrite(t, filepath.Join(checkout, "SKILL.md"))
+					mkdir(t, filepath.Dir(dir))
+					symlink(t, checkout, dir)
+				case "linkfile":
+					target := filepath.Join(t.TempDir(), "SKILL.md")
+					mustWrite(t, target)
+					mkdir(t, dir)
+					symlink(t, target, path)
+				}
+			}
+
+			var stdout, stderr bytes.Buffer
+			refreshSkills(&stdout, &stderr, flux)
+
+			calls, _ := os.ReadFile(log)
+			if string(calls) != tc.calls {
+				t.Errorf("calls %q, want %q", calls, tc.calls)
+			}
+			if want := strings.NewReplacer(roots...).Replace(tc.out); stdout.String() != want {
+				t.Errorf("stdout %q, want %q", stdout.String(), want)
+			}
+			if stderr.String() != tc.warn {
+				t.Errorf("stderr %q, want %q", stderr.String(), tc.warn)
+			}
+		})
+	}
+}
+
+func mustWrite(t *testing.T, path string) {
+	t.Helper()
+	mkdir(t, filepath.Dir(path))
+	if err := os.WriteFile(path, []byte("skill"), 0644); err != nil {
+		t.Fatal(err)
+	}
+}
+
+func mkdir(t *testing.T, dir string) {
+	t.Helper()
+	if err := os.MkdirAll(dir, 0755); err != nil {
+		t.Fatal(err)
+	}
+}
+
+func symlink(t *testing.T, target, link string) {
+	t.Helper()
+	if err := os.Symlink(target, link); err != nil {
+		t.Fatal(err)
+	}
+}
diff --git a/skill/SKILL.md b/skill/SKILL.md
index 4e1bf6b..684eb0e 100644
--- a/skill/SKILL.md
+++ b/skill/SKILL.md
@@ -104,6 +104,7 @@ Replace `<key>` with the resolved production project key in every example. Scene
 | Render diagram (inline) | `flux diagrams render --mermaid "graph TD; A-->B" --env prod --project <key> --json` |
 | AppSignal apps | `flux appsignal apps --env prod --project <key> --json` |
 | AppSignal incidents | `flux appsignal incidents list --app <app> --env prod --project <key> --json` |
+| Update CLI and skill | `flux update [--no-skill]` |
 
 ## Environment & Project Selection