The difficult spot for me is the high-speed bearing (with the star wheel) of an escapement. When dry, the bearing squeals, slowing down speeds 1/30 through 1/125. The problem is that any oil in that bearing (or anywhere else) creeps onto the nearby metal surfaces, causing the bearing to become dry, making it squeal.
My solution to this problem is:
1. Mix a little Naphtha into some molybdenum powder, producing what I call "moly mud", and apply it to the bearing. The Naphtha will quickly dry leaving moly powder on the bearing.
2. Apply a tiny drop of synthetic watch-oil onto the bearing with an oiler.
A couple of test-cameras have gone over five years with no squealing.
I believe this technique works because the moly powder is so fine that it attracts oil more strongly than the microscopic valleys in the metal, thus preventing the oil from creeping.
I also apply a bit of moly mud to the teeth of the star wheel, but with
no oil because dust would eventually make the oil become gummy.
Mark Overton