I have a Naim CD3 and a few years ago it started doing exactly that. Spinning the disk for a few seconds and then giving an "ERR" message. Intermittently. Sometimes if I gave the swing-out drawer a good slam, it would work, sometimes not.
Took it to a repairman, who changed the whole CDM9 mechanicals. Worked for a few days then on the blink again. Sent it to the Italian Naim service place, who said they repaired it and sent it back. Few days later "ERR" again, just like before.
To make a (very, weeks, driving across Italy a couple of times, etc) long story short, with my local repairman we decided to try changing one of the Integrated circuits on the board, a black rectangular thing with lots of metal feet soldered to the circuit board. We took it out of an old German CDP that I'd picked up in a flea market (Maybe Nordmende, Telefunken, one of those kind of brands anyway, can't remember)
Since then it has worked perfectly (cross fingers, touch wood, etc.)
Not much help, I'm afraid, but just to say that it is not necessarily the mechanicals, if the motor spins and the laser goes up and down to focus. Probably by slamming the drawer I was re-connecting some tiny circuit break somewhere.