The compressor would not come on in that short of time so lets look at the fan. How long before the fan will come on again?
If you have an amp meter measure the running current of the fan. If it is high and there is a clickson on the fan motor. It may be going out against the clickson.
I am assuming it is not blowing the breaker.
WBCCI 12156 AIR 3144 WACHUNG TAC NJ6
2004 Excursion 4x4
1991 34 ft. Excella +220,000 miles, new laminated flooring, new upholstery, new 3200 lbs axles