Sure, you could have a loose (ER) ejector rod, but one very overlooked & neglected cleaning job is inside the cylinder's tunnel. It greatly helps to disassemble them and clean them properly from time to time. Even if the ER is just loose, I like to disassemble and clean them anyway - a perfect time to do so.
You will need to remove the cylinder from the frame (one screw), use a drill press, a ER tool from Brownells, a Jacobs chuck or similar to securely grip the ejector rod past the knurled tip so it doesn't get bunged up. I find the best is by chucking up the ER in a drill press chuck. (note: pull power cord from outlet first so there is no accidental starting of the motor). Tighten the chuck firmly so the ER will not slip or spin and get marked up, but not "gorilla tight" so you cause damage either. Then use three empty fired cases (every other charge hole) in the cylinder to secure the star wheel locator pins from breaking and turn the cylinder while holding the drill press chuck. The direction to loosen depends on the age of the revolver. I believe pre 1957 is clockwise, then counter clockwise after that date. They are also marked to distinguish them by a groove in the ER just after the knurling. Remove rod, springs and clean all parts including inside the tunnel with Hoppes 9 and a tooth brush. Blow out all solvent with an air gun, lightly lubricate and wipe off excess oil. You do not want it dripping wet which will gunk it up by attracting debris and unburned powder residue. Resemble in reverse order and again, use 3 empties in the cylinder. This sounds more complicated than it is and should not be a big deal.
Tighten the ER firmly and it will stay put. Do not over tighten it! There is absolutely no need to use a threat locker either if properly tightened!
BTW, I just posted a "tightening" thread you might want to read first. Worse case scenario if the ER loosens up on its own, that means you did not have it tight enough. Go a bit tighter next time, but again, don't over tighten it.
I usually do this on my cylinders once a year or as needed - but I do shoot lots of reloaded lead bullets through my revolvers - probably more than most here.
NOTE: This disassembly procedure can also be used to straighten out a bent ER. Straightening one out is not that difficult. I have never had to replace one - I just straighten them out if needed.