[FEATURE] Remember the old conversation when used on-prem

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

[FEATURE] Can you add a feature for Claude-Code been able to remember the conversations from closed terminals, I am using it locally on my laptop the only downside so far is the fact that anytime that I acceditally close the terminal the conversation is gone. I am trying to save it manually as a workaround but that doesn't work all the time

Proposed Solution

Have chat history similar to web version

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

CLI commands and flags

Use Case Example

I am using claude-code on a complex project where multiple scripts are involved so long conversations and a good history will be very helpful

Additional Context

_No response_