If I do Edit > List Clipboards (Ctrl+Shift+V), I can cursor down through clipboards and select one that I want. I can also right click in the list of clipboards and select "Set as Current Clipboard". It would be handy if "Set as Current Clipboard" was bound to a shortcut key matching whatever you have for "Copy", that is, for most people, have a shortcut for Ctrl+C that sets the selected clipboard as the current within the List Clipboards dialog.