what is the proceidure for winding a 35 day centurion wall clock?

Question

The clock has two places to wind one clockwise the other counter clockwise

Answer 1

You might look on the Internet for Centurion clocks and ask the question to one of the firms listed.

It is likely that one of the winding places is for the clock mechanism, and the other for the striking mechanism. They would not be related in a fashion that one would affect the other.