If the hole in the link is larger than the ones in the lugs, you can go to an oversize pin. An alternate solution is to use a threadlocker on the pin; at least at one end. Loctite Nu-Metal is a gap filling anaerobic methacrylic design to retain loose fitting bearing races in worn recesses. It has aluminum flakes to help fill the gap. If you use it, it would require heat softening to get the pin loose again in the future.
I've had at least one 1911 barrel (a Colt N.M. barrel, actually) that didn't hug the link pin. It can't get loose when the gun is assembled because the sides of the frame surround it. It shot extremely well. Having it fall out during field stripping was the only risk. I assume the same it true of the Star?
Nick