Assuming the rifle is one of the pillar bedded actions, do two things.
1. pull the barreled action out of the stock, and inspect three things very closely in strong light. Look at the recoil lug area where it's bedded. Look to see if the tang area is binding in the stock (this is rather common). Lastly look at the two pillars to see what they look like. Specially the front one! Look for anything that just doesn't look right. Maybe a bad burr on the area that meets the action. Or even failure to contact the action (more common than one might think). The original Savage actions that were pillar bedded had an issue with the front screw, as it just was not made correctly. Now we get past the inspection process, and lets try something that's pretty easy to do, and see the results. Round up some modeling clay (Even you kid's Silly Putty). Put a very thin dab of it ontop each pillar (no more than 1/32" thick). Reinstall the action and torque the bolts to around 45 inch pounds. Carefully remove the bolts and pull the action. Is there any clay left ontop the pillars? If there is, you have a problem (look closely with a very strong light again). After that it's time to do a serious bedding inspection, and maybe re bed the recoil lug.
2. Call or pull in a marker, and get your hands on a 1" diameter piece of Thompson rod that's about eight to twelve inches long. Most bearing retail outlets can get it without a hassle, but forget the automotive places and drill rod. Now you have something that's strait and to size to see if the scope rings are aligned. Thompson rod usually runs about .0005" under size, and is near perfect for checking scope bases. Also good to lap with. Just don't use the piece you lap with to check alignment. I used to save all left over pieces of 30mm and 1" stuff just for that use.
gary