But neither would ever sign on to it. Clinton's reasons would have been more self-serving than Bush's - Billy didn't want to be indicted in absentia for things like the Sudan or Afghanistan bombings. Plus, Hillary would have kicked his ass if he saddled her presidency with such trappings.
Clinton did sign on December 31, 2000. There was a December 31 deadline, where leaders of nations could sign without their legislative body's approval, and those signatures would be accepted by the U.N. Clinton signed just under the wire.
Bush unsigned it around May 8, 2002.