Before going down the abrasive route, I would try other things first. Maybe very hot water and washing up liquid on a very soft cloth to start? If that doesn't work, maybe wipe over with pure IPA (we use this at work to wipe over plastic instrument cases, to de-grease before bonding screens on and IPA does not attack the plastic, at least the Polycarbonate we use is ok). Obviously, try both on a less obviously visible bit if possible first.