diff --git a/README.md b/README.md
index 02a39f6ca..3ecf2f7be 100644
--- a/README.md
+++ b/README.md
@@ -239,8 +239,11 @@ op read "op://Vault/Item/credential" | basecamp auth login --with-client-credent
 The login mints once, which is what proves the client id and secret: a refused
 mint stores nothing. `--account` is required when the profile does not exist
 yet. `basecamp auth logout` forgets the credential; there is no useful
-revocation, since the same client would mint another — rotate the client
-secret in Basecamp to end an agent's access.
+revocation, since the same client would mint another. To end its access,
+disconnect its connection in Basecamp (on My > Agent for your own agent, in
+Adminland for a shared one), which kills that connection's secret and every
+token minted from it. Where My > Agent lists several connections, disconnect
+the one this profile used: Disconnect all ends every one of them.
 
 ### Connecting an agent to this computer
 
diff --git a/internal/auth/agent_test.go b/internal/auth/agent_test.go
index f07691881..d5bc410b1 100644
--- a/internal/auth/agent_test.go
+++ b/internal/auth/agent_test.go
@@ -392,9 +392,9 @@ func TestAgentMintRefusesARedirect(t *testing.T) {
 	assert.Zero(t, *sinkCalls, "the client secret followed a redirect")
 }
 
-// TestAgentLogoutSaysRotatingTheSecretIsTheRemedy: revoking one self-token
+// TestAgentLogoutForgetsWithoutRevoking: revoking one self-token
 // accomplishes nothing while the client that minted it can mint another.
-func TestAgentLogoutSaysRotatingTheSecretIsTheRemedy(t *testing.T) {
+func TestAgentLogoutForgetsWithoutRevoking(t *testing.T) {
 	as := startDeviceAS(t)
 	m := newDeviceTestManager(t, as.srv.URL)
 	key := storeAgent(t, m, agentCredential(as.srv.URL+"/oauth/token", time.Now().Add(time.Hour)))
@@ -421,7 +421,7 @@ func TestAgentRevokeIsRefusedAndKeepsTheCredential(t *testing.T) {
 	err := m.RevokeStored(context.Background())
 	require.Error(t, err)
 	assert.Equal(t, output.CodeUsage, output.AsError(err).Code)
-	assert.Contains(t, err.Error(), "rotate the client secret")
+	assert.Contains(t, output.AsError(err).Hint, "disconnect this connection in Basecamp")
 	assert.Empty(t, as.revokeCalls(), "a revocation was sent for an agent self-token")
 
 	creds, loadErr := m.store.Load(key)
diff --git a/internal/auth/revoke.go b/internal/auth/revoke.go
index 2c114cf6c..d7d462eca 100644
--- a/internal/auth/revoke.go
+++ b/internal/auth/revoke.go
@@ -44,8 +44,13 @@ const (
 	RevokeSkippedImported = "imported_token"
 	// RevokeSkippedAgent: an agent self-token is minted on demand from a
 	// client id and secret, so revoking one accomplishes nothing — the
-	// same client mints another on the next command. Ending an agent's
-	// access means rotating the client secret in Basecamp.
+	// same client mints another on the next command. What ends this
+	// credential's access is disconnecting its connection in Basecamp,
+	// which kills that connection's secret and every token minted from it.
+	// Once an agent can hold several connections, neither older remedy is
+	// right: rotating the client secret (Basecamp has no control for it)
+	// rewrites only the first connection's, and disconnecting the whole
+	// agent ends every other computer's connection too.
 	RevokeSkippedAgent = "agent"
 )
 
@@ -194,7 +199,7 @@ func (m *Manager) RevokeStored(ctx context.Context) error {
 				"Forget the credential locally instead: basecamp auth logout")
 		case RevokeSkippedAgent:
 			return output.ErrUsageHint("An agent self-token is not worth revoking: the client that minted it can mint another",
-				"Forget the credential locally instead (basecamp auth logout), and rotate the client secret in Basecamp to end the agent's access")
+				"Forget the credential locally instead (basecamp auth logout), and disconnect this connection in Basecamp to end its access")
 		}
 		if err := m.Revoke(ctx, creds); err != nil {
 			// Keep the failure's taxonomy — a transport failure or a 5xx
diff --git a/internal/commands/auth.go b/internal/commands/auth.go
index 9f3bcf4d4..ecab70202 100644
--- a/internal/commands/auth.go
+++ b/internal/commands/auth.go
@@ -1607,7 +1607,7 @@ func describeLogout(done string, result *auth.LogoutResult) (summary string, fie
 		summary = done + " (forgot the imported token; it stays valid until revoked in Basecamp)"
 	case result.Skipped == auth.RevokeSkippedAgent:
 		fields["reason"] = result.Skipped
-		summary = done + " (forgot the agent credential; rotate the client secret in Basecamp to end its access)"
+		summary = done + " (forgot the agent credential; disconnect this connection in Basecamp to end its access)"
 	case result.Err != nil:
 		fields["reason"] = result.Err.Error()
 		fields["remaining"] = result.Remaining
diff --git a/internal/commands/auth_agent.go b/internal/commands/auth_agent.go
index a70239f35..a66eeac4b 100644
--- a/internal/commands/auth_agent.go
+++ b/internal/commands/auth_agent.go
@@ -19,8 +19,8 @@ func newAuthAgentCmd() *cobra.Command {
 	cmd := &cobra.Command{
 		Use:   "agent",
 		Short: "Connect this computer to a Basecamp agent",
-		Long: `Connect this computer to a Basecamp agent — an identity your Basecamp
-administrator created — so commands run as that agent.
+		Long: `Connect this computer to a Basecamp agent — your own personal agent, or
+one your Basecamp administrator created — so commands run as that agent.
 
 The connection hands this CLI the agent's own OAuth client, which mints the
 access tokens it spends. Nobody pastes a credential: you approve the
diff --git a/internal/commands/auth_logout_test.go b/internal/commands/auth_logout_test.go
index 07e1d8ec2..d4f93deaf 100644
--- a/internal/commands/auth_logout_test.go
+++ b/internal/commands/auth_logout_test.go
@@ -121,6 +121,19 @@ func bc5LogoutCredentials(s *revocationServer) *auth.Credentials {
 	}
 }
 
+// agentLogoutCredentials is a connected agent's stored credential: its own
+// client id and secret, and a self-token minted from them.
+func agentLogoutCredentials(s *revocationServer) *auth.Credentials {
+	return &auth.Credentials{
+		AccessToken:   "agent-at",
+		OAuthType:     "agent",
+		ClientID:      "bc-agent-1",
+		ClientSecret:  "agent-secret",
+		TokenEndpoint: s.srv.URL + "/oauth/tokens",
+		Scope:         "full",
+	}
+}
+
 func decodeLogoutJSON(t *testing.T, buf *bytes.Buffer) map[string]any {
 	t.Helper()
 	var envelope struct {
@@ -181,6 +194,16 @@ func TestAuthLogoutHumanCopy(t *testing.T) {
 		assert.False(t, app.Auth.IsAuthenticated())
 	})
 
+	t.Run("agent", func(t *testing.T) {
+		s := startRevocationServer(t)
+		app, buf := newLogoutTestApp(t, s, output.FormatStyled, agentLogoutCredentials(s))
+		require.NoError(t, runLogout(t, app))
+		assert.Contains(t, buf.String(), "Logged out (forgot the agent credential; disconnect this connection in Basecamp to end its access)")
+		assert.NotContains(t, buf.String(), "rotate", "Basecamp has no rotate-secret control to send anyone to")
+		assert.Empty(t, s.revoked(), "an agent self-token is minted on demand; revoking one ends nothing")
+		assert.False(t, app.Auth.IsAuthenticated())
+	})
+
 	t.Run("not logged in", func(t *testing.T) {
 		s := startRevocationServer(t)
 		app, buf := newLogoutTestApp(t, s, output.FormatStyled, nil)