KennethR,
(As long as you are not overhauling or claiming some scheduled maintenance on the component) You can use the CMM if the AMM does not cover the rectification or show the assembly and/or configuration you need to see.
You should get the OEM to okay your use of it first. (NTO or similar certificate)
However, when you have completed your task and the component is working again - you must test the component performs correctly IAW the AMM - NOT the CMM!
This method has previously been okayed by CAA surveyors
Hope this helps.
Rigga