The club play in the seventh-tier of the English league system; Tribute Western Counties North.

The club later moved to Vassells Park in Fishponds, the players changing in the back room of the Full Moon Public House.

When Cleve were forced to move to Bromley Heath Road in Downend in 1939, because of a housing development, their wooden pavilion went with them.

Eventually, to meet the growing local interest in rugby football, more pitches were developed.

The next milestone in Cleve's history was the club's move to its new clubhouse and grounds in Mangotsfield named ‘The Hayfields’ in September 1997.