Have a look to see that one of your mounts is not squeezing the pivot point of the scope where the internals are fixed.
I had a Leupold 3-9 VXII that would wander all over the place, just like you describe. I returned it to Leupold and they reported that this was the problem with the scope. They told me that yes it was wandering all over the place but that it was a design feature!!!!!! And to mount it in another possition so that the ring was away from a small dimple that existed under the scope at the pivot point. So much for their life time replacement warranty.
I thought that this sounded like a load of rubbish as it was impossible to mount the rings anywhere else. I did try it on a number of rifles with the same result. I thought that they were only trying to get out of fixing the problem.
Maybe if your rings are out of alignment or putting pressure on the scopes internals, causing them to shift? If Leupold technicians can brame this to get out of a warranty claim, then it might be possible.
As a matter of interest I did mount the Leupold in another possition. I threw it out, as far away as possible. A mate of mine gave it to his kid to put on his air rifle. Had a bad tast in my mouth about Leupold customer service ever since and I don't mind sharing it. "Design feature"arrrrr