Good luck in finding the answers.
Our QA tell us that you can you use the CMM on the line if no specialised test equipment is used. This is where the workshop comes into play with regards to specialist equipment.
However we have always said, show us where this is written and no one yet has shown us.
Some things can only be carried out by using the CMM, you find where galley repair work or even changing some vent filters in the galley is, other than the CMM.
I know for a fact that a CMR required test on the B757 flt deck door is only in the CMM.
So once again good luck.