What is a honorable discharge COG?

A COG (Convenience of the Government) Discharge is the government's way of backing out of its commitment to an enlisted person without doing harm to that person's future. They are most often used to cancel the contract when the recruit is injured in training to the point where there is a long recovery time or a full recovery is not anticipated.

It is a "good" discharge so long as the Word "honorable" is attached to it. With an honorable discharge a person is able to claim military service and, in many cases, even enlist again once the physical problem has resolved itself. He is also most probably eligible for a 5-point Federal Civilian Service hiring preference as a veteran. It is an administrative discharge (as opposed to a judicial discharge like a dishonorable or bad conduct discharge).