That isn't good. If the charge is correct - it has to be checked by a
professional unless you have R-12 - the valves in the compressor are
probably bad.

Short-cycling is most often associated with low refrigerant charge, but all
sorts of things can have the same symptoms. In the case of the OP, the long
interval between cycles and the short on time sounds pretty good for cool
weather. Low charge, especially if it is really low, often stays engaged for
only a few seconds as a vacuum is pulled on the low side, then tries again
quickly as the vacuum bleeds off. Bad compressor valves do the opposite,
running almost continuously and only shutting off when it can catch up but
re-engaging almost immediately.

Mike