After being selected by the New York Mets with the 24th overall pick of the 1980 amateur draft, Gibbons had a very brief 18-game major league playing career as a catcher with the Mets in 1984 and 1986. In 1984 he was considered to be the Mets' top catching prospect but he batted only .220, with one home run and 2 RBIs (but 16 strikeouts) in 50 at-bats. Injuries also took a toll on him so he retired as a player in 1990. Gibbons served as the Mets' bullpen catcher during the 1986 postseason, in which the Mets won the World Series.