bubba: most revolvers I've ever shot, including some single actions will spit gasses out of the gap between the cylinder and the barrel. However, if she shaves lead and spits out lead particles then she should be looked at as she might be a bit out of time.
When you say the cylinder has play to it, do you mean front to back or side to side- and is it side to side with the hammer cocked back or with it hammer down. I have had some revolvers that had side to side play when the hammer was cocked back but as soon as the hammer was released they locked up tight without any play. If your is grouping well it should be an indication that she is alright.
However - next time you are at the range, place a hankerchief over the barrel to cylinder gap and fire a round or two. You should see powder particles or burned powder marks on the hankie where she blows gasses from the barrel/cylinder gap, but if you have lead particles or holes in the hankie then she is spitting lead and you should take her back to a gunsmith or the dealer for repair. HTH. Mikey.