Twenty-second Amendment to the United States Constitution
The amendment prohibits any individual who has been elected president twice from being elected again. Under the amendment, an individual who fills an unexpired presidential term lasting greater than two years is also prohibited from winning election as president more than once. Scholars debate whether the amendment prohibits affected individuals from succeeding to the presidency under any circumstances or whether it only applies to presidential elections.
Twelfth Amendment to the United States Constitution
The Twelfth Amendment explicitly states the also apply to being Vice President. It is unclear whether a two-term president could later serve as Vice President. Some argue that the Twenty-second Amendment and Twelfth Amendment both bar any two-term president from later serving as Vice President as well as from succeeding to the presidency from any point in the United States presidential line of succession. Others contend that the Twelfth Amendment concerns qualification for "service", while the Twenty-second Amendment concerns qualifications for "election", and thus a former two-term president is still eligible to "serve" as Vice President. The applicability of this distinction has not been tested, as no former president has ever sought the vice presidency, and thus the courts have never been required to make a judgment regarding the matter. Hillary Clinton said during her 2016 candidacy that she considered naming Bill Clinton as her Vice President, but was advised it would be unconstitutional.