Couple of things...
both when firing and dry firing.
Do NOT dry-fire this gun, or any other S&W rimfire revolver!
S&W rimfire revolvers lack a mechanism to prevent the firing pin from striking the cylinder when dry-firing. Repeatedly doing it will dent the cylinder or damage the firing pin.
...you may need to replace the mainspring on the gun. I had to on a S&W .22 that had been in our family since the 1930's. Wolff has a replacement for about $10 and it takes 10 minutes to swap. Also make sure the strain screw is tight.
Be aware that the revolver may not have a strain screw, and the mainspring design depends on the frame type.
S&W has sold .22 revolvers in 4 different frame sizes:
- M frame: Very small, miniature, literally looks like a toy; 7-shot cylinder
- I frame: Compact grip frame, 1.25"-long cylinder, 6-shot
- J frame: Compact grip frame, 1.3"-long cylinder IIRC, replaced I frame, traditionally 6-shot, some new ones 8-shot
- K frame: Full-size, traditionally 6-shot, some new ones 10-shot
If the gun is an M frame (commonly known as a Ladysmith), IMHO you should
NOT fire it. It is a valuable collector's item, parts are extremely rare, and the lockwork is simply too delicate to withstand repeated firing; this is generally understood to be the reason S&W discontinued these guns. Furthermore, the gun is actually chambered in
.22 Long, and use of .22LR ammo will split the forcing cone.
The I frame came in two versions. The pre-1952 version has a short grip frame and a leaf mainspring with a strain screw. The mainspring in these guns is removed by taking off the sideplate (get directions on how to do this properly!) and loosening the strain screw all the way. New mainsprings for these guns have been unavailable for a long time, but you can often correct light strikes on older S&Ws by gently bending the old mainspring straight and reinstalling it. The key word is "gently"; do NOT kink it, the goal it to straighten it! FWIW the mainspring in these guns can actually be removed without removing the sideplate, but reinstallation is tricky because you have to gently engage a swinging stirrup on the hammer up inside the gun, which is difficult to do if you've never attempted it before.
The post-1952 I frame uses a coil mainspring with NO strain screw, as does the J frame. The mainspring in these guns is removed by cocking the gun, inserting a piece of small and stiff wire (a straightened paperclip works great) through the hole in the mainspring guide, taking off the sideplate, lifting out the mainspring and guide,
carefully restraining the spring as you remove the retaining wire, and then
carefully removing the spring from the guide (the spring pressure is considerable and it will go flying if you carelessly release it).
The K frame has a leaf mainspring like the early I frame, but replacements are readily obtained because the K frame is still in production. All modern K frame mainsprings are interchangeable.
[Edit to add footnote] If the gun is a version that uses a strain screw, it's possible that the screw was shortened to lighten the DA trigger pull; this is unfortunately a common but misguided trick amongst garage gunsmiths.
New strain screws are available from S&W for blued and stainless K frames, but if you have an I frame or a nickel K frame and you don't want to use a blued screw, you'll have to go to Plan B. Fortunately, Plan B is to use a readily available Allen-head 8-32x1/2 set screw from your friendly local hardware store.
You may need to file it to length, and if the end is pointed, you should file or Dremel it down so it's blunt and won't damage the spring. Once you figure out how far you need to screw it in to stop the light strikes, purple Loctite is recommended so it won't shoot loose.