CDX2 skipping?

If it's similar to the puck arrangement used on the CDS2, CDS3 etc. I'd check that the top surface of the disc is spotlessly clean (even of fingerprints) in the region near the hole, where the puck makes contact. I developed a disc handling regime which avoided touching anything other than the outer edge of the disc in order to avoid these issues. Even today, after ripping I return the disc to the case by pressing on the centre of the case and allowing the disc to fall onto the retaining fixture. 

Is the rubber on the puck clean? Blu-tac dabbed on the rubber can help. Alternatively you can try turning the rubber round with a pair of tweezers. 

Every CD drive is a bit different when it comes to disc damage or disc pressing faults.  It may be that the clamp is slipping - in which case, if your CDX2 is an earlier one then making sure that the little rubber grips are not too flattened or hardened is recommended.  Or it could just be the disc itself.

You can see whether the CD mech in your CDX2 is potentially failing or having problems by putting it into "soak mode" .  To do this, you must choose a perfectly clean and known error free disc.  Put it in the drawer with the clamp in place.  Switch off the player.  Then switch on with the play button held down.  This then switched off the error correction, will show a 0 in the display and the disc will play on repeat and will then count any errors that occur.  If it is still at 0 after an hour for two then it's fine.  To leave soak mode, you just cycle power.

Very helpful Richard. Thanks for posting this.