Thanks, guys. I have tried loosening and tightening the coil mounting nuts. I've made sure the mounting surfaces are clean and that the fit is flush and square with the area it mounts on. I even tried adding a second set of mounting points to reduce coil movement. I found that the sound changes, but it doesn't go away. I haven't tried any rubber or wood pads, but I think if all was well with the coil, and they weren't there to start with, I shouldn't need them.
A second Yorke clock I rebuilt runs silently. I may swap the coils to confirm that's the problem, but upon inspection, both have the same mountings, rotor alignment, etc. The coil resistance is different (1.37 K ohms for the quiet clock, 1.51 K for the noisy one), but I've found varying resistance between Telechron coils, too.
Any experience using the spray on coil varnish?