The clip fastener in the original jacket is attached with double stick tape at the bottom and is again sandwiched between the two layers of material with double sticky tape. When you cut out the clip you can peel those material sheets and then clean off the glue with solvent. This clip is made of polyethylene, it will resist most solvents with no damage.
Warning
When you glue the clip onto something else,
make sure it is a flexible material
I've learned the hard way. I glued mine to a piece of MDF and clipped my reader to it. Everything went fine until I tried to remove it. The half part of the clip on the reader broke off. My blood spun two cycles in a flash when I saw the exposed green of the cicuits in the gaping hole on the back of the reader. Fortunately I was able to epoxy glue the clip back. Now I can't use jackets anymore because that will break the clip off again.
What happens is that this external clip is flexible and has some 'give' when you pry the jacket off. If you apply it to a hard surface, you deprive it of its properties and it transfers the stresses back to the other part on the reader. SNAP! You see it fly off and stand there like an idiot! Not about to do that again.