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).
Presidency of Dwight D. Eisenhower
The 22nd Amendment to the U.S. Constitution, ratified in 1951, established a two-term limit for the presidency. As the amendment had not applied to President Truman, Eisenhower became the first president constitutionally limited to two terms. Eisenhower nonetheless closely watched the 1960 presidential election, which he viewed as a referendum on his presidency. He attempted to convince Secretary of the Treasury Robert Anderson to seek the Republican nomination, but Anderson declined to enter the race. Eisenhower offered Nixon lukewarm support in the 1960 Republican primaries. When asked by reporters to list one of Nixon's policy ideas he had adopted, Eisenhower joked, "If you give me a week, I might think of one. I don't remember." Eisenhower and Nixon in fact had become unequal friends, who learned it from each other and respected each other. Despite the lack of strong support from Eisenhower, Nixon's successful cultivation of party elites ensured that he faced only a weak challenge from Governor Nelson Rockefeller for the Republican nomination.