If you have good rings and a clean American or name brand scope, I am unsure why you are having problems.
What brand of scope and who's scope rings are you using? Pictures of the issue would also help.
As far as Locktite is concerned, using it is a NO-NO on rings. Its just not needed or desired. Those screws can be hard enough to remove with out lock tite. Use the stuff on the bases that's for sure. I have mounted thousands of scopes and NEVER locktited the rings. NEVER had reason to. I have and use two rings of very heavy recoiling calibers. HEAVY loaded Browning & Ruger #1 single shots and CZ Magnum bolt in 375H&H. Never move is hundreds and hundreds of rounds. The only scope problem I have had was with a hand gun. A contender in 357 Herrett. It sheared the fact screws...TWICE. But even then the scope didn't move with in the rings!!
Be sure the rings and scope is clean and dry, NO OIL PRESENT. Lets back track to the base, remove it, clean the screws and holes with a good solvent. Be sure NO OIL IS REMAINING. I like to be sure the base is lying flat and contacting as much of the barrel as possible. So I use a piece of emery paper, wrapped around the barrel where the base will mount. Hold it there while you put the base on and rub it back and fourth over the emery paper. this will knock down the high spots and true the base to the barrel. Once you are satisfied, clean everything again. Apply a drop of locktite to the threads of each screw and tighten VERY LIGHTLY. After all screws are in and snug, go back and torque all to the same tightness. Alternate tightening front to back until all are tight.
Now mount the rings to the base. Be sure this is tight and true. I also lap the rings. This is done with a hard piece of steel and valve lapping compound. I tighten the rings around the 1" steel as if it was the scope and lap. Most people do not have this available to them, so for the sake of argument, lets ship this part.
With your rings mounted to the base and the tops removed. Set your scope in the rings in the approximate position. Add the ring caps and tighten screws. Its likely too late for this as this is a remount, BUT when ever you get new rings do not mix up the parts. Some manufactures actually FIT the ring bases to the tops. So as a rule of thumb, don't mix the tops. Again do not tighten ANY ONE SCREW before they are ALL snug. Even then do so in a criss-cross pattern until very tight.
You should now have a scope mounted in such a way that it will not move. Yes there are friction tapes and talc you could use to aid in preventing scope movement. but With out exaggeration the thousands I have mounted none have come back wit the complaint of them moving.
Post up with some more info like brand of the parts involved and pics too would help.
Good luck,
CW