Never thought this was a thing, till I read this thread today. Then, following some of the links I find folks with high $ cars getting parts replaced due to stickiness!
Six years ago I bought a 12yr old car in the desert. The knobs on the dash were sticky, to the point of it coming off on my fingers. I tried a few different cleaners before one worked. Not knowing this is an expensive problem for others, I simply cleaned mine off and have not had any recurrence in the following 6 years. Who knew that there is a whole industry spawned by sticky dash knobs!
No, I don't recall which common cleaner I used, as I haven't needed to do that job again.
On a related subject, the extra brake light lens, the one along the edge of the trunk lid, fell off. The joint between the red and clear (the red part is clear too, just this section has no colour) failed and the red part was in danger of falling out on the road. I tried several different kinds of glue before one worked. Gorilla brand CA (cyanoacrilate) worked as a permanent bond on that type of plastic.