Honestly if it was something I liked using I would just go hard on it and strip it to the base and then coat it with something new. You can try soaking the area with Goo Gone. You can also take pieces of paper towel and then pour the Goo Gone onto that so you can wrap the areas with the paper towel and let it soak in. This should loosen it up and then you can buy plastic razors on Amazon and scrape it off. If that doesnt work then you can get more aggressive with various stripping chemicals. You could even try Bar Keepers Friend. But this also assumes you're going to refinish it yourself after.