I recommend a product from Birchwood Casey called "Stock Sheen and Conditioner". It is a mild rubbing compound for wood finishes.
I bought a Verona (less expensive Italian O/U shotgun no longer imported) a few years ago. It had STUNNING European walnut wood. Seriously, this walnut is better than what my Kimber Custom Match, or the vast majority of high grade Berettas and Benellis costing 3 to 5 times what I paid for the Verona were built with. I was after a rifle and had to buy it, basically because of the wood. That, and I didn't have a shotgun and belonged to a gun club. Anyhow, it had one glaring defect. There was a messed up finish job. The impression I got was the stock was finished properly, then sat on a plastic sheet with wet finish on it. The crinkled look and the fact I could feel the imperfection on the surface made me think I had a shot at removing the ugly without having to refinish the stock. An hour with a rag and some serious elbow grease, the stock finish is perfect. The stuff might dull a glossy finish, but the shotgun I used the stuff on had a satin finish, like a lot of Kimbers. If you are lucky, Kimberkook, the peel I see is on the suface layer of finish, and not the original finish. I'd say that is likely the case, because the new stuff couldn't soak through the original.
Good luck.
-Les