I recently purchased a used S&W model 22s-1. It is jamming at least once each magazine, much the same as described above for the 22A. Was wondering if replacing spring and plastic recoil spring buffer is the solution? Also, magazine clip pressure seems week compared to my Ruger magazine. Do the magazine springs need replaced periodically as well? Any help would be appreciated
I recently swapped the 22A I had for a Model 41 (along with a good bit of cash), so I'm familiar with them. As discussed above, try several brands of high velocity ammunition to see if that irons it out (except Remington: it is trash). Stay with bullets 36 grains and up; mine worked good with Federal bulk back HP's from Wally and CCI Blazer. Your gun may not have been broken in; it takes a few hundred rounds to get the rough spots smoothed off.
You might also try replacing the recoil buffer but I don't recall in the manual that S&W recommended a particular round count before doing so. That buffer seemed to compress to a point and then no further; I probably had 2000 rounds on the buffer when I swapped the gun and it worked fine. I kept a couple of spares on hand after losing the first one when it and the spring/guide rod launched into space at the first disassembly

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Before getting a new recoil spring, you might polish the guide rod with extra fine sandpaper followed up with some emery cloth or something similar. A small drop of BreakFree or some such spread around on the guide rod doesn't hurt. After some use when normal wear patterns began to show up on the slide or frame, I used to carefully polish these by hand with emery paper wrapped around something. If you have access to a Dremel, carefully polish the feed ramp with some of the polishing compound on one of the little cone-shaped polishing heads.
Also, before replacing mag springs I think I would disassemble the magazines and thoroughly clean them. They accumulate crud now and then and it needs to come out.
To get OT a little, I found Aguila Match Rifle to be very accurate in mine. I had a dot sight and it tore out one ragged 50 round hole about an inch across at 20 yards, off the bench of course. It was smelly stuff but awfully good shooting for that last little bit of accuracy when it was wanted. Most of my shooting was with the above mentioned Federal bulk pack, and I would brush off the breech and bolt face along with the feed ramp about every 50 shots. Malfunctions became almost non-existent.
Hope this helps, and good luck with it. For the money, they are pretty good little pistols but need a little tweaking to get running right.