I'm no gunsmith, but I have heard that a little wobble is actually a good thing - it can (supposedly) allow the bullet to self-center a bit as it enters the forcing cone.
I dunno if the theory is correct, but in practice, a little wobble is, in and of itself, not really a problem. If the gun were shaving lead, or sometimes failing to lock up, or sometimes over-running the lock, then yeah, you'd want to fix that. Absent those symptoms, just shoot it and enjoy it. It probably has more accuracy and service life left than most of us could fully put to use.