I happened to run across an interesting book whilst rummaging through our local library, a Historical Dictionary of American Slang. What it's doing here in Devon is another story, apparently.

The definition of gee, a verb, from gee! a command to make a horse turn right or go faster} to suit, go, work, etc.; hence to behave as desired; get along well.

The first citation is 1698-1699, Dict. Canting Crew: It won't Gee, it won't hit or go.

My guess is that geehaw as a verb is a parallel to the verb in this dictionary, particularly when viewed in light of what the inquirer said about two electronic instruments not geehawing, or getting along.

Many years ago we had an American Naval officer attached to my husband's unit, and he often said that things either were or were not in gee. The context led us to conclude he meant agreement; I'd not thought about that odd expression for 30 or more years.

Curly