In summary, cats may lick plastic bags for a variety of reasons, including seeking out new textures, being attracted to the scent or taste of. Remove your cat from the area so that you can clean up any remaining plastic. If it was a type of plastic wrapper or your cat ate a plastic bag, you should try and identify the contents. If you've ever caught your. You’ve probably heard the rustling of a plastic bag when you’ve returned from the weekly shop, just to see your cat biting and shredding it with great enthusiasm.