If you're talking about the bezel that pulls from the main case after the two side screws are removed then I'm guessing you might have a Cougar clock. I caught a glimpse of one during my extensive internet travels yesterday and it looked identical to our console clocks but for the chrome bezel and perhaps the dial face.
Try some Maguire's Plastic Polish-it does a fantastic job on plastic lenses. You can even fix CDs that skip with it.