I would operate the slide with the recoil spring out of the gun. When opening the action, look for any drag on the hood of the barrel or on the barrel bushing. If it is tight, the extra drag may be what is causing it to hangup periodically.
What are you guys seeing on the barrel link? hole out-of-round?
I think it's supposed to be like that...
Compared to a TT-33/TTC link which is straight-edged with round hole,
the M57 looks like it has a slightly oval hole on a diagonal axis and a rounded outer profile.
At least mine does (and it's not damaged).
Curious about the pin below the chamber, it doesn't appear to have a barrel insert or liner (ala later P1/P38)
this guy sells tt33 barrel links. I believe it should work if that end up being the problem
http://www.robertrtg.com/store/pc/BARREL-LINK-TT33-TOKAREV-175p56.htm
Numrich has exactly what you need and more.
https://www.gunpartscorp.com/gun-manufacturer/tokarev/auto-pistols-tok/tt33