Howdy
Let's see, at last count I have four 2nd Gen Colts, three 1st Gens, one Uberti Cattleman, a few Remingtons, and I don't know what all else.
Yes, the screws do tend to loosen.
At one point Colt was even supplying little plastic washers that went under the heads of the frame screws to help keep them from backing out. Ultimately the washers proved useless and I threw them away.
Fifty rounds is a bit light for screws to be backing out, but it is normal for them to do so.
Actually, the three frame screws the hammer, trigger, and bolt rotate on are not a problem at all if they back out a little bit. The internal parts will continue to work just fine, even if their screws back out a tad. The six screws that attach the grip frame to the frame are a bit more problematic if they start to back out, but even so, the gun will not fall apart if they are a tad loose. I have heard of the screw that holds the ejector rod onto the barrel getting so loose it falls out. Has not happened to me, but I have heard of it.
Your best friend is a set of hollow ground screw drivers that you can snug the screws with every once in a while. You don't have to go hog wild, nothing is going to fall apart just because the screws are a tad loose. Just snug the screws up again. Don't try to over tighten them, you will probably bugger up the screw heads if you do. Just snug them up after a few range sessions.
Don't cheap out when buying screwdrivers for your pistol. You can buy an excellent set just for the Colt SAA from Brownells that should fit all the screws on an Uberti too.
https://www.brownells.com/gunsmith-tools-supplies/handgun-tools/bits/colt-single-action-screwdriver-prod25458.aspx
By the way, you can buy a set of hardened screws from VTI Gun Parts. Uberti screws tend to be soft and easily damaged. The hardened screws may not stay snugged up longer, but at least you won't run as much risk of buggering up the screw slots.
https://www.vtigunparts.com/store/shopexd.asp?id=1386
P.S. I forgot my 2nd Gen New Frontier. Yes, the screws on it need snugging every once in a while too.
P.P.S. Hi Bob.