Go to WalMart and pickup a vaccumn drive belt, 1/4 inch thich. Cut it and press it into bottom ring then cut it where both ends are proper height to top of the ring. Repeat to other half of the ring. Put in your 1 inch scope, align and secure.
The 1/4 inch belt is actually too large for a 1 inch scope but when tightened the excess is forced out the front and back of the ring and will keep your scope VERY secure. You will not believe how tight it actually holds a 1 inch scope.
For a couple of bucks it's worth a try. I did it and have not had a problems with movement.