A third consecutive term is very difficult especially if the economy isn't spectacular. Butch Otter is the only current Gov to have pulled it off and his state leans heavily towards his party.
But is Otter the only current 3 term governor simply because most governors can't (due to term limits) / or decide not to run for a third term? I feel like thats possible.
Other governors in recent memory have served awhile. Jerry Brown and Terry Branstad served many terms (even though the were non-consecutive). And Rick Perry ran in three elections, and served an additional 2 years at the end of Bush's term.