rod,
You need to clarify your statement: "The air would cut out as if i was turning it off and on".
Are you meaning that the Fan would stop blowing any air, or do you mean that the Fan was blowing, but the air was not cold? Those are two completely different issues.
If the Fan intermittently quits blowing, it's probably a Fan speed controller problem.
If the Fan is blowing, but the air is not cold, it may be low on refrigerant causing the AC to cycle on and off.
A third possibility is that you have a vacuum leak or a leaking vacuum motor that controls the temperature blend doors in the heater box behind the dashboard. This would show up when accelerating and vacuum pressure drops, the door could shut off access to the cold air and you feel warm air from the outside vent. Then when you return to cruise or close the throttle, vacuum increases and the door to the cold air opens you feel the cold air again
This is very common on some vehicles even without a vacuum leak. Some vehicles have a WOT (wide open throttle) cut-off switch to the AC compressor to release the clutch on the AC compressor. This is typically on smaller 4 cylinder engines. Also some engines do not develop enough vacuum while under moderate acceleration and you will feel the cold air cut-off and you will often hear a change in the sound from the fan even though it did not change speed.
So a little more clarification about your problem and exactly when the symptoms occur would be helpful in identifying you problem.
....Rich