To tighten rod
Insert 2 or 3 empty cases in chambers, Place rod in chuck and tighten chuck. Hold chuck and cylinder and turn cylinder to left as everything past the late 50s used left hand threads on rod. A drill chuck makes a good gripper for the rod. You can also use 2 pieces of heavy leather and a vice. You do not want to mar the rod.
I do not believe the rod being loose with cause the cylinder to rub barrel however.
Lets start over from the beginning.
Did you gun function correctly for you at one time?
What occurred before the initial problem? Did you disassemble or what?
Does the yoke pivot correctly if you install it without the cylinder? Try all 3 side plate screws in yoke screw position to find one that works right.
When you install rod in cylinder, small spring goes on center pin, big spring and big spring goes on small portion of collar that rides on rod body. Make 100% sure area under star and back of star is clean. Star arms should set flush where they meet cylinder. Are the 2 little pins in cylinder OK? Never got bent a bit loosening or tightening rod with out empties in chambers??
Did you look at groove and button on end of yoke pivot shaft as I asked earlier? Are they OK.?