When I first started punching, I was constantly losing punch needle threaders.
The threaders fell so easily between the cushions on the couch
or onto the floor where the cat thinks they are her toy.
I was looking for it every time I needed to rethread the needle.
Until I realized that the threaders are magnetic! Eureka!
I took a strip of magnet and attached it to the inside of my punching box.
I still sometimes have to search for a lost punch needle threader,
but not nearly as often.
I hope this helps you!
If you have lost your punch needle threader (or broke it) at an inopportune time,
consider making your own threaders.