It's amazing how OP asked about the .32 S&W LONG and at least half the responders commented about the .32 S&W, .32 ACP, .32 Long and Short Colt, etc! Is this indicative of a lack of basic knowledge of S&W cartridges, or a dearth of reading comprehension? Just curious.

BTW, if you have a box for a .32 S&W Long revolver, from the days when compatible/alternative cartridges were listed inside the lid, both the .32 Long and Short Colt cartridges were listed as acceptable alternates!