Could one have a script or program for Mac, which would when run, clear the clipboard as well as Finder's "Recent Folders" list in the Go menu?
Running this command in a terminal:
$ printf '' | pbcopy
will clear the clipboard by setting it's contents to an empty string.
For clearing Finder's Recent Folders List, this terminal command seems to work:
$ defaults write com.apple.Finder FXRecentFolders {} ;killall Finder