[FEATURE] Show timestamps on messages in conversation

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

It would be helpful to display a timestamp (at least for user messages) in the conversation view — similar to how most chat applications show message time.

Use case: When working on long sessions, it's hard to track when specific messages were sent. This makes it difficult to correlate conversation history with file
changes, backups, or external events.

Suggestion: Show a small timestamp (e.g. 14:35) next to each user message, or on hover.

Proposed Solution

Add a small timestamp label (e.g. 14:35 or Jun 19, 14:35) displayed next to or below each user message in the conversation view. The timestamp could be:

• Always visible (subtle, small font, gray color), or
• Visible on hover only

This is consistent with standard behavior in chat applications (Slack, Telegram, WhatsApp, etc.) and requires no user configuration.

Alternative Solutions

_No response_

Priority

Medium - Would be very helpful

Feature Category

CLI commands and flags

Use Case Example

_No response_

Additional Context

_No response_