End shake is the movement of the cylinder front and back while the gun is in lockup. Put in a snap cap or fired casing, dry fire the revolver and hold the trigger back, and grip the cylinder and pull and push it forward and back. If it moves excessively, get some feeler gauges and measure the b/c gap while in lockup, measure with the cylinder pushed forward all the way and then back all way to get your endshake measurement.
I have a very loose 28-2 that has .002 in endshake, doesn't seem like a lot, but it is. If I shake the gun I can hear the cylinder rattling against the recoil plate. Debating wheither to send it back to S&W or just try endshake bearings. I have $380 in the gun and bought it as a "range blaster" so I am hesitant to sink any more into it when I own much tighter examples. It must have taken a LOT of .357 to loosen up this Highway Patrolman. If you find yourself a nice Model 28 that's tight and just shoot .38 out of it, I imagine it would last several lifetimes.