Serrano has been at this for years, as have Barney Frank and a host of their fellow representatives. The Democrats might want Clinton back; it's unclear whom the Republicans have wanted in recent years.
--tim francis-wright
Jose Serrano has proposed this measure three previous times: in 2001, H. J. Res. 4 (no cosponsors) http://thomas.loc.gov/cgi-bin/bdquery/R?d107:FLD003:@1(rep+Serrano) in 1999, H. J. Res. 17 (one cosponsor: Christopher Shays) http://thomas.loc.gov/cgi-bin/bdquery/R?d106:FLD003:@1(rep+Serrano) in 1997, H. J. Res. 19 (one cosponsor: Christopher Shays) http://thomas.loc.gov/cgi-bin/bdquery/R?d105:FLD003:@1(rep+Serrano)
I think he's been doing this just to get ahead of Barney Frank, who has offered substantially the same resolutions in several recent Congresses: in 1999, H. J. Res. 24; in 1997, H. J. Res. 38; in 1995, H. J. Res. 68
This year, Barney Frank simply signed onto Steny Hoyer's H. J. Res. 25 http://thomas.loc.gov/cgi-bin/bdquery/z?d108:h.j.res.00025: (other co-sponsors: Howard Berman, Henry Hyde, Frank Pallone Jr., Martin Sabo, and James Sensenbrenner Jr.)
Hoyer et al took the 107th Congress off. In 1999, they offered H. J. Res. 38 (7 co-sponsors: Howard Berman, Barney Frank, Henry Hyde, Frank Pallone Jr., Martin Sabo, James Sensenbrenner Jr., and Christopher Shays)
In 1997, H. J. Res 88, with the same cast of characters except with David Skaggs instead of Christopher Shays Also in 1997, H. J. Res. 39 by Michael McNulty
Since 1997 this has been a House-only issue; in 1995, Mitch McConnell offered S. J. Res. 23 along these lines (co-sponsor: Harry Reid). 1995 also featured three other proposals in the House besides Barney Frank's measure listed above.
Some Republicans during Papa Dork's term seem to have caught the third-term fever.
The 101st Congress (1989-1991) had a bunch of competing proposals to alter the 22nd Amendment, from outright repeal to imposition of a single six-year term.
In 1991, Martin Sabo proposed a similar amendment, H. J. Res. 101 http://thomas.loc.gov/cgi-bin/bdquery/z?d102:h.j.res.00101: (16 co-sponsors, including Dick Armey and Barney Frank)
Once Clinton won in 1992, the fervor subsided. The only proposal in 1993 was H. J. Res. 107, submitted by Peter McNulty, with the only co-sponsors being Shays and Louise Slaughter. http://thomas.loc.gov/cgi-bin/bdquery/z?d103:h.j.res.00107: