It's a very common behavior for cats to eat/play with plastic.
A few possible reasons:
1) Cats are hunters. And domesticated cats have an amazing capacity for imagination. To them, the sounds and movement that plastic makes when they're chewing/licking it gives their prey "life" and makes the hunt irresistible.
2) Curiosity. Cats have to explore and investigate anything new that comes into their environment. When I come home from the grocery store with plastic bags or open something wrapped in plastic my cats are all over it.
Neither of these answers really do it for me because they could explain a number of things cats play with besides plastic. So here is a third explanation I heard from my vet:
3) Plastic is processed with what's known as "tallow". This is a by-product of rendered animal fat. Feline olfactory systems are incredible sensitive and it's possible that they pick up on it.
And finally:
4) Cats learn early on that negative attention is still attention. They are very persistent when they know something is off limits. It could be simply that your companion is asking for some love.
As far as I know there is no definitive answer to this common problem. I make sure I don't have any plastic in my house that can be avoided. Still, my boys chew on cd cases, wires (the casing), and even the laminated covers of my music books.
....but the world goes 'round