rick300, bullseye308 explained the problem. The solution to it is to clean the chambers in the cylinder thoroughly.
You can use a nylon, bronze, or even stainless bore brushes to clean the cylinders. Personally, I generally don't use stainless brushes to avoid the possibility of any scratches--and some of my bore cleaners aggressively act on bronze brushes--so I have settled on a HD-nylon rifle bore brush from Brownell's. IOW, that's the longer one, not a handgun bore brush. For 357 chambers, I use (nominal) .400 and .358 brushes--read on.
I swab the cylinder with my favorite solvent (No. 9, for example, Hoppe's elite bore gel, whatever) by saturating a patch I've held over the brush, and then run this in and out of the chambers--this can be done manually, with just your regular rod. After some soaking, I then work away with the brush chucked into a battery-powered drill running at low speed. Personally, I mentally count to ten for each chamber when I do this. Then I swab with patches, and repeat as needed.
If there is significant buildup, I wrap nominal 1x1" pieces Chore-boy brand copper scrubbers (other brands may be steel, coated with bronze) over the bore brush as a cheap alternative to buying a Lewis Lead Remover and the Lewis replacement patches. However, the Lewis remover does work better, and it may be worth the investment to you.
Most of my reloading for 38/357 is done with lead, so the crud buildup from shooting 38 Special rounds in a 357 chamber is easily visible--and not too hard to remove, providing you stay on it. Get those chambers whistle-clean each time after you shoot.
FWIW, I do NOT clean the bore with the drill and brush--there, I use strictly an in-and-out motion with the typical rod. Bore cleaning includes saturating and soaking, then wicking stuff out with patches, etc. I finish cleaning up with CLP, usually--but leave the bore and chambers fairly dry, as I shoot often.
Jim H.