Here is an idea I haven't tried, but might work: Take some unoiled paper or mylar tape and punch it with rubouts. Spray one side with spray-on photo mounting adhesive just before use. It would definitely leave a thick spot in the repaired tape, but I suspect it would hold up long enough to punch a copy.
--Bill http://www.amazon.com/3M-Spray-Artists-Adhesive-MMM6065/dp/B00006IFBF
