Swab Remover (Dritz Loop Turner)
Borrowed from the sewing industry, this handy, lightweight tool should be in the pocket of every musician's case! It is a long rod with a hook on the end that will catch a lightly stuck swab and pull it back out the bottom.
It may not work on really heavily stuck, compacted swabs, but will help you out in the heat of the moment when your swab is lightly stuck.