Step 1: Cut the contact lens case
The easiest way to cut the cases is to heat an exacto knife in flame. If you don't use heat then use a very sharp blade and go slow. The plastic is a little brittle and is prone splitting if you apply too much pressure.
Step 2: Screw, wrap, and tuck
Once it is wrapped you can tuck the plug under the wire to keep the it from unwrapping.