You can use isopropyl alcohol to remove the sticky nasty rubber and at least make the thing usable again.
Didn't work for me. Still sticky and messy, with the added benefit of adding schmutz from the cloth I used.
And change the paper towel frequently. It works by dissolving the sticky stuff, not mechanically wiping it off. So the paper towel picks up the dissolved crud after only a few wipes, then switch to a clean one.
I’ve cleaned cameras, mice, umbrella handles, and the back of a Samsung tablet this way.