I actually prefer .001 shake in the cylinder for the revolvers I use in competition. I can't tell that it affects practical accuracy at all at the distances shot in USPSA and IDPA, and a little grit from a couple hundred shots does not bind up the gun.

I bought a well-thrashed model 66 and as part of going all through it, put .004 shims in the cylinder, leaving about half a thousandth play.
The only other completely new parts in the gun were the cylinder stop and all the springs. Everything else could be corrected by my revolver smith.