I bought a Disc Doctor off of Ebay a few years ago. It is essentially as the others have descrbed: a crcular platform to hold the disc and a soft cotton pad to polish out the scuffs. You apply a cleaning solution and it will buff out the problems.
CD Repair?
I've seen several companies advertising CD repair by polishing out scratches. Here's a couple of examples: www.wefixcds.com & www.auraltech.com.
Has anyone had any CDs repaired? Successful? Worth the cost? Thanks!