He was a right-handed batsman who played for Glamorgan. Dauncey played league cricket for Swansea, Metal Box, Pontardawe, Clydach and Mumbles. Dauncey made two first-class appearances for Glamorgan, during the 1957 season, having represented the Second XI since 1954.
From the opening order, Dauncey scored his first-class best total of 34 in his debut innings, against Gloucestershire.
Dauncey"s second and final first-class appearance came the following week, against Kent. He became one of nine first-innings victims of Kent batsman David Halfyard on his way to a career innings-best analysis.