To delete your Grok chat history on grok.com/app and X, go into your chat...
https://source-wiki.win/index.php/Where_is_the_Delete_All_Conversations_Button_in_Grok_Settings%3F
To delete your Grok chat history on grok.com/app and X, go into your chat settings and choose “Delete Conversation.” Remember, chat history deletion does not remove files or Imagine media—they need to be deleted separately