They're good rifles. Had a 110 in 30-06. I'd check the usual stuff. Magazine lips feed the ammo good. Check spent cartridges for shape with a sizing die check primer dent. IF you can get a hand on go no go gauges even better. Verify safety operates. I remove the scope and put a empty case with a fresh primer in the gun and bang it on the ground a bit, but not too roughly. General old gun maintenance, clean firing pin channel and parts that don't get normally cleaned. Like cleaning and oiling the trigger. I like to put wood sealer on the inside of the stock. Snug up and loose gun swivel bolts.
Even though the gun has less recoil, stock fit is still important. When my 5'3" wife shot a shorter length of pull gun for the first time, she knew right away what stock fit means. Older guns with recoil pads harden over time. IF possible replace the recoil pad. Old wood can shift things at times, check clearance with safety, magazine, and check stock lugs fit well in the stock. Check wood for signs of cracking. You can stabilize wood with a touch of epoxy, or clean up the cause of it such as interference. IF gun came with rings, make sure they contact the gun properly. They grab on the sides and dont touch on the top of the base. Sometimes you can find stock length of springs, like the firing pin spring, sear, and safety springs.
Some gun have issues with roll pin wear, I can't recall savage actions having them. That would more be a well used rifle anyways.