Is it a rubber mounted damper? It’s Normal for rubber mounted dampers to have wobble movement. Cummins allows almost 1/4 inch tolerance of radial runout before replacement. Its the rotational movement you need to worry about on those. Has it clocked away from its original setting? Thats when you worry about those because they are actually moving. After you get the new one on and fire it up you will have immediate disappointment when you see it wobble too.
If it is a viscous type than you should have very little wobble movement because they are either machined out of one billet piece or “precision” welded together.