I "rescued" a good-to-very-good condition 1952 Model 61 from an in-law, and gave them good market value price for it too. The bore was dirty, but cleaned up beautifully, and after a good overall cleaning (it had been sitting in a laundry room for 25+ years!) it took it to the range with some Winchester whitebox fodder. It also had a period Williams peep sight. I was a bit pressed for time, and setup a target at 50 yards, took a fouling shot, rested the rifle over a sandbag and put 40 rounds into the target without making any sight adjustments. All 40 rounds were in the target, group size was about 4 inches total for all 40 rounds with 11 rounds in the bullseye - but for the first time out with the old rifle (and my 52 year old eyes with glaucoma ain't what they used to be) I considered this a great start for a "new" old rifle.
These are generally great shooters, and they hold value very well. One has to look hard for a "nice" one that isn't over priced, though.