The only way to get it off is with patience and time.
As mentioned, acetone is not bad, or Methyl ethyl ketone, those are the only things that will dissolve the plastic.
Apply one of those, then start with a piece of wood as rob said, popsicle sticks are good, get the bulk off.
Keep wetting it.
You should be able to rub the residue off with dry rags.
Any little stubborn spots, get a brand new razor blade or scalpel type tool, and very gently shave it off.
Be careful, chrome is unforgiving, you can't polish it. Don't use anything abrasive like polishes.