When looking for the most recently accessed documents in your LF Client, you will click on File\Recent Documents and you will see the list of the 9 most recent documents opened.  If you click on one of them you get your document, however, if that document has been moved recently, you get a message:  Entry Not Found.

Can that feature not be controlled based on the document ID?  That way, if the document is moved, it wouldn't matter.