To delete your Grok chat history on grok.com/app and X, go to the chat settings...

https://www.hometalk.com/member/250126507/jessie1829280

To delete your Grok chat history on grok.com/app and X, go to the chat settings and choose ‘Delete Conversation.’ Remember, this only removes text chats. Any files or Imagine media must be deleted separately from their respective sections