Far left leaning Rep. José Serrano [D-NY15] has introduced a resolution to repeal the 22nd Amendment.
H.J.Res. 15: Proposing an amendment to the Constitution of the United States to repeal the twenty-second article of amendment, thereby removing the limitation on the number of terms an individual may serve as President.Rep. Serrano has been introducing this resolution every 2 years since 1997 and it never got out of committee. This is probably not going anywhere either, but just thought you might want to know.