As we've said before, use nothing but specialist clock oil.

Each of the pivot holes in the front of the front plate and the back of the back plate is surrounded by a little well. This retains the oil by surface tension. Add a tiny drop to each one.

Do not attempt to oil the escapement platform. In a good quality clock this will have jewelled bearings. They are not likely to need cleaning or lubricating, and the method of doing so is different and much harder.