I had a little wobble in one of my target rifles, so I got some sheets of shim material for press brakes, and cut a small filler disks for the sides of the front lug, and a little square U shaped pad back contact point of the receiver to go under the rear lug. The fit is ROCK solid, without any wiggle at all. I know it didn't effect accuracy, or performance to any degree, but it was driving me nuts.
You can get high strength plastic (I went with this) in .0001 to .0020 thicknesses, or stainless steel in .00005 to .0010 thicknesses.
It won't wear out like an o-ring can, doesn't compress, and when you have the right thickness, it's perfect.
Just don't forget it's there when you clean it, and be careful with the SS sheet.... If you thought a paper cut is bad, you don't want to see what .00005" thick stainless can do.