Polishing the Clamshell's outer case

iKlear Apple Polish works great for my clamshell. All over too, not just the white part. Even cleans the screen. It comes as a spray liquid with a microfiber cloth. Just spray it on and polish with the cloth. It is also available as single use disposable “Kloths” that come it a tear open package just like those hand cleaners at rib joints or KFC, although I have found that the best results come from the old fashioned method of spraying and polishing with the microfiber cloth. It nicely fills in those tiny little scratches and even rejuvenates the rubberized portions. I got a kit containing the spray fluid, cloth and about a dozen one time use packets from OWC, but I’ve seen them in Apple stores and other electronics retailers as well.

there's a product which i think is even endorsed by apple called "iSnow" Its original purpose was for polishing off scratches in the ipods, but it was soon realized that it could also be used for things like the ibook g4 cases. should also work for you i think

I don't know if you can do that with plastic without damaging it. I
know jewelers can buff light scratches off the surfaces of plastic
watch faces, but an electric buffer is more involved than I care to be.

I use Brasso (brass polish) and jeweler's rouge to manually buff out scratches on CDs. They worked well with my used iceBook.

However, the same rouge that worked manually was a mistake to use with an electric tool (Dremel). I made an iceBook lid's glow-Apple somewhat more milky in a hard-to-describe, but disappointing manner.