His one complete game shutout was on August 5, 1966, against the Cleveland Indians, while pitching for the New York Yankees. He gave up 5 hits, walked 1 and struck out 3. It was one of only 3 starts he had in the 1966 season.
Late in his career Hamilton threw the famed "folly-floater," a high, slow eephus pitch. Other pitchers that have thrown a lob pitch include Rip Sewell and Dave LaRoche. One of his most famous moments involving this pitch occurred on June 24, 1970, in the first game of a doubleheader against the Cleveland Indians. Hamilton threw a "folly floater" to Indian slugger Tony Horton, who fouled it out of play. Horton asked for another; Hamilton obliged and again threw him the pitch, and again Horton hit it into foul territory — this time into Thurman Munson's mitt for an out. An embarrassed Horton crawled back into the dugout on all fours. A clip of this can be found on .