I'd like to clean the case on my classic II, what is the recommended procedure for doing so?

It's mostly just grimy, but it does have 4 distinct areas where apparently old Apple stickers were stuck which left behind some kind of transparent adhesive residue.

I'd like to clean it up, and remove the old sticker residue, without damaging the case or accelerating its yellowing. I don't intend to try and reverse the yellowing that is currently present since it is minor and isn't an issue at this point, but I don't want to make it worse either.

Any insight is appreciated.