A trick that I have used for years to prevent scope movement in the rings is to wrap one turn of double stick tape around the scope in the location of the rings. Prior to doing this you want to make sure the crosshairs are square and there is sufficient eye relief. If these are good to go, put a piece of masking tape on one ring and on the scope and make a reference mark with a pencil. This will assure you retain squareness and eye relief when you re-assemble with the double stick tape. Some prefer powdered rosin for this job, but after having tried both I prefer the doublestick tape. Before you apply the tape be sure to clean the scope and inside of the rings with a good de-greaser.