He is best remembered for his 11-year spell in the Football League with Brentford, for whom he made over 280 appearances. Brentford
Dargie began his career Southern League side Tonbridge and joined Division Two club Brentford in February 1952. He made his debut for the club on 19 April 1952 in a 4–1 defeat to Hull City as an inside right.
After moving back into central defence, Dargie endured a slow start to his time at Griffin Park, failing to make a breakthrough into the first team until after the Bees were relegation to the Division Three South in 1954, making 22 appearances during the 1954-1955 season.
Dargie became an integral part of the side was an ever-present during the 1957-1958 season, appearing in all 46 league games. Towards the end of the 1958-1959 season, Brentford looked poised to secure promotion back to Division Two and in recognition of his record of 100th consecutive league appearances, Dargie was handed the captaincy for a league match versus Southampton on 9 March 1959.
A cracked shinbone suffered on Easter Saturday 1959 sidelined Dargie for the remainder of the campaign and the team"s defensive record worsened. Dargie was again an ever-present during the 1960-1961 season, making a career-high 51 appearances.
Brentford suffered relegation to Division Four in 1962 and Dargie fell behind Peter Gelson and Mel Scott in the pecking order.
He departed the club at the end of the 1962-1963 Division Four title-winning season, failing to make enough appearances to qualify for a medal. Dargie made 281 appearances and scored two goals during his time with the Bees. Non-league football
Dargie dropped into non-league football in 1963 and joined Southern League Division One side Yiewsley.
After his retirement, Dargie became physio and youth team coach at Crystal Palace, serving the club until 1982.
He was part of the coaching staff at Charlton Athletic between 1985 and 1988, before reverting to an administrative role. He died on 27 November 2015 in Haverfordwest, Wales, at the age of 84.