- I gutted the timer
- I traced the timer's back onto a thin piece of cardboard
- I pulled out a lot of the copper wire and formed it into several shapeless blobs of wire
- I stuffed the shapeless blobs into the back of the timer
- I taped the cardboard cutout onto the back of the timer so it would hold everything in.
So now I can refill the cleaner whenever I need to using the same spool of wire I used back then.
It may be shoddy, but in the end it turned out to work pretty well.