Two thoughts. If you don't have a set of safety wire pliers, they are only $15 at Harbor Fright. They are very useful. I have put entire car front bumper assemblies back on with nothing more than lock wire and these pliers, from some of my sons mishaps. Airdams on the front of my wife's various cars over the years, too. I also have the $200 Milspec ones, and yet I always grab for these floppy, wobbly Pittsburgh-Zhen pair.
That said, if you wanna really avoid chain issues, buy a riveter. I've seen a dozen chains come off, (never mine), mostly on the track, and none were riveted.