1 - You can click the trashcan icon on the conversation itself in chat.openai.com to delete a single chat:
2 - You can also open up the shared link modal and click the three dots then click “Delete link” which will delete the shared link:
3 - There is also a history panel accessible via the settings modal to show all links, and delete all or individual.
Manage your shared conversations in the settings area click Manage:
This will then display all your shared conversations in a list:
You can delete a shared link to a single conversation - OR - you can also delete all your shared links: