Customer Service for Subscribers. The feline obsession with all things plastic isn't all fun and games -- it can be dangerous. One of my cats also had an odd obsession with licking the emulsion off photographs. Why do cats do this? There are several theories as to why cats might be driven to frenzies of foolishness over those crazy polymers, and here they are:. Soft plastics are porous and they trap the odor of whatever was contained within them.