I like Dupont chainsaver lube. Goes on wet like wd40 evaporates to leave wax behind. Use no silicone. Any silicone left behind will rub off onto wood and cause fisheye in finishes and glue problems.
I would spray wd40 on the moving bits and crank it up down a few times before taking it all the way apart. If you are lucky that may cure it.
Bill D