The puck on my Capitole MKll had a little slop to it when placed on the CD. I cut 3 strips of electricians black plastic tape 1/16" x 1/8" and pasted them equally spaced on the bevel of the puck that sits on the spindle. A perfect fit now with no slop thus no wobble while spinning. This might work with other pucks on other players too.
Unclejeff, Mine works fine too, I just noticed a slight play (back and forth in the puck) only several thousanths of an inch or the thickness of the tape. I was thinking of machining a new puck from plastic, now that is a full moon idea!