You can specify the scope of the Data Page to be either Thread, Requestor, or Node. You can also specify a refresh strategy on the Load Management tab of the rule form if you want it to expire after a certain period of time and reload. When it expires though, I think it would stay on the Clipboard but then reload if it is accessed after the expiration.
Understood on the Scope front. I'm specifically interested in the question from a memory perspective (whether that be directly on the clipboard or the underlying memory.) I've Page-Removed Read Only Data Pages in both Thread and Requestor contexts that I have suspicions remain in memory.