To delete your Grok chat history on grok.com/app or X, go to your chat settings...
https://www.bookmark-help.win/to-delete-your-grok-chat-history-on-grok-com-app-and-x-go-to-your-chat-1
To delete your Grok chat history on grok.com/app or X, go to your chat settings and select delete conversation. Remember, this only removes text chats. Files and Imagine media stored in your account must be deleted separately