Sounds good. The old M81/M82 and M73B1 military scopes were disposed as surplus items back in the 1960s/70s at very low prices. The military made moved on to the M84 scopes and other newer designs, and a lot of those lower power 2.5x scopes ended up on 22LR rifles as everyone by then was using larger magnification scopes on centerfire hunting rifles (4x, 6x, 10x, 12x and variable scopes, etc). Very common practice re those old 3/4" surplus military scopes, and I have heard from other collectors that they still see them of old 22 rifles from time to time.
In fact, a couple of years ago I was in my local gun store and ended up buying a sporterized WWI German Mauser in 22-250 simply b/c it had a nice M73B1 scope on it with a Litchert 6x magnifier. I restored the scope as that is what was used on the 1903A4 rifles in WWII. Folks do more restorations of these rifles these days, and less sporterizing of them, so the M82 is a nice restoration item.
Here's the reproduction M82 scope that is fairly popular:
https://www.gunpartscorp.com/products/1289030
FWIW, here's my M1C I got from CMP in 2012. In this picture it has a civilian Kollmorgan 4x Bear Cub scope, but I have since found the military MC-1 4x scope. You can see the unique scope bracket that is attached to the side of the M1C with 3 large screws and 2 dowl pins, and your M82 scope has the correct USGI rings and mount to slide onto that scope bracket. My current set-up is a 1950's era M1C, but if I put an M82 on it, it becomes a very late WWII and Korean War era set-up. My rifle was made in Dec 1944 and the scope bracket still has the matching serial # from the rifle when it was made in late WWII. Many M1Cs rebuilt in the 1950s have restamped or non-matching scope brackets. So I kind-of like the idea of an earlier configuration with an M82 scope, hence my interest in a trade re your vintage scope...just an fyi.