Yes, the standard jig is in 6/8 time, and the slip jig is in 9/8 time but there's also the single jig performed in 4/4 time, but with the emphasis on the the downbeat rather than the upbeat, as done in a reel (4/4 time). Also, the treble jig which is performed in hard shoes, the above jigs being danced in soft shoes. Jigs are also performed in ceili dances with groups of people dancing a set of steps.
See also Irish step dancing