IDLE AIR CONTROL MOTOR on 1992 Lincoln Town Car

What is a IDLE AIR CONTROL MOTOR and how much to fix and repair

The idle air control (IAC) controls the idle speed. I don't have a price for the part but you could call an auto parts store for that. You may be able to find the labor time in our estimator link below:
I'd guess it's going to be about 1 hour labor time including clearing codes, etc.
If you want to find a Lincoln specialist, here's our directory link for you: