No there is not.
Before 2003 the limit was 3 terms. Since that time the term limit laws were repealed and their is currently no limit on time the governor of Utah can remain in office, providing of course that they are re-elected and/or don't retire from office.
Brigham Young was Governor of the Territory of Utah from February 3, 1851 through April 12, 1858.
In Virginia, a governor can serve only one term at a time. However, there is no limit on the total number of terms a governor can serve. This means that a governor can be re-elected for multiple terms, as long as they are not consecutive.
The governor of Minnesota will serve a four year term until the next election. The governor is elected by the general public.
An Arkansas Governor may serve no more than two four-year terms.
A Governor in Georgia can serve two terms. The term of office for a Governor in Georgia is four years.
Jackson was never governor of Tennessee.
He served as the governor of Oregon from 2006 to 2010.
He served as lieutenant governor from 2023 to 2025.
Ohio does not have a limit for the absolute maximum number of terms a governor may be in office, but no one may serve more than two consecutive four-year terms.
Vermont does not have term limits.
The term for Governor of Massachusetts is four years, however, there is no term limit. Essentially this means you can run for an unlimited amount of time and be governor for an unlimited amount of years.