Well, the tach gets it's ground connection from being installed in the gauge pod that is connected to the dash frame. So that isn't your problem.
So we now have to wires connected to the back of the tach. The blue wire is the "+", connected to a stud. The gray wire is the signal from the "-" side of the ignition coil. It's connected to the tach by a slip on spade connector.
A suggestion would be to make sure the gray wire connection is tight at the coil.
My fear is you might have a small crack in the circuit board of the tach. It might be dry rotten by now.