Educated at Caulfield Grammar School, Kellaway joined his brother Duncan at Richmond in 1997. He is a defender, and in his best AFL season, 2000, he won the club's best and fairest award and was a member of the All-Australian Team.
He played International rules football for Australia in 2000 and in 2002 he won the Jim Stynes Medal. Kellaway was Australia's goalkeeper for the 2002 series.
He was delisted by Richmond at the end of the 2006 season at age 30.
Australian rugby unleashed jed holloway andrew kellaway