OK, I feel like I'm kinda guessing in the dark here, so use your best judgment. :wink:
:? AFAIK, the polyester resin shouldn't be a problem.
Is the wood sealed/finished? If so, that shouldn't be a problem either--just use damp--not wet--cloth with a little detergent (test on an unseen area). If the wood is not sealed/finished, I'd try Nature's Miracle (there's a similar product for reptiles, but I haven't had a chance to compare them yet).
If there's any company contact info on the label, I'd try to contact them & ask. Silly/stupid to label something that way and NOT tell you how to clean it (if you ask me).