Is he going to put it on a shelf or vis he going to continue to be in service? If he's going to still be using it, those stains would be the least of any worries. Based on the color of the leather where the lace was removed, that glove is in serious need of a good reconditioning. That's a lot of sun fading & probably the reason why there's tape residue. A good leather cleaner & some elbow grease should remove most of that gunk. A good conditioning (or two) might be able to bring back some of the original color. Depending on how meticulous you want to be, I would stick with leather specific products like Lexol or Obenauf's.
Thanks for responding. He’ll be playing with it occasionally. Maybe. But the trade off is more in that he simply needed it fixed (relacing) and I wanted a glove to continue my self-education upon. And that’s even if the ultimate lesson with this sad thing is that it wasn’t worth it to begin with. Which is a pretty swell lesson in of itself, I imagine. So, in the end, I just really wanted to find out best practices on this random aspect before venturing forward. However, it did occur to me that many of you folk deal with high performance glove users, which actually made me chuckle a bit before posting, but I also knew it’s within the realm so still felt it relevant to moving things forward... an added bonus to needing an answer.
In the end I used an amalgamation of suggestions. Q-tip with a bit of Goo Gone for globbed trouble spots, then cloth with alcohol and neutral water to work at leather stain left by adhesive below. Primary cleaning and rounds of conditioning for this seriously in need leather is around the bend. And indeed, Lexol is very much in its future.
*I throw ‘self-education’ out there lightly because I literally came upon my closest to definitive answers via scouring this very forum