[FEATURE] name and save conversations

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

Ability to look up conversation easily.
Continue from a conversation.

Proposed Solution

claude conversation --folder project_folder
claude conversation --new project_initiation --save project_folder

claude conversation --existing project_initiation

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

CLI commands and flags

Use Case Example

1. create a project folder
2. start the conversation and give it a name and folder to save
3. save conversations here with all the commands run as we converse
4. in the next session, open the conversation and continue discussion
5. use the saved conversation to write summaries and notes and what not

Additional Context

_No response_