Twenty-second Amendment to the United States Constitution
Some argue that the 22nd Amendment and 12th Amendment bar any two-term president from later serving as vice president as well as from succeeding to the presidency from any point in the presidential line of succession. Others contend that the original intent of the 12th Amendment concerns qualification for "service" (age, residence, and citizenship), while the 22nd Amendment, concerns qualifications for "election", and thus (strictly applying the text) a former two-term president is still eligible to "serve" as vice president (neither amendment restricts the number of times an individual can be elected to the vice presidency), and then succeed to the presidency to serve out the balance of the term (though prohibited from running for election to an additional term).
Twenty-second Amendment to the United States Constitution
The first efforts in Congress to repeal the 22nd Amendment were undertaken in 1956, only five years after the amendment's ratification. According to the Congressional Research Service, over the ensuing half-century (through 2008) 54 joint resolutions seeking to repeal the two-term presidential election limit were introduced (primarily in the House); none were given serious consideration. Between 1997 and 2013, José E. Serrano (D-NY) introduced nine resolutions (one per Congress, all unsuccessful) to repeal the amendment. Repeal has also been supported by senior Congressmen such as Barney Frank and David Dreier and Senators Mitch McConnell and Harry Reid.