Locktite all screws. Then establish witness marks. The loctite should hold, but the witness marks (lines) will tell you if there's loosening.
DO NOT accept any loosey-goosey sh*t anywhere on your rifle's optic system, whether it's in the mount, in the rings, in the screws, or something on the optic itself. And that's regardless of whether your rifle is a rimfire or a centerfire.
Get it fixed and get it locked-down tight!