Harcombe was a right-handed lower-order batsman and a right-arm slow bowler. He played for Somerset in three matches in 1905, one more in 1914 and then a final three in 1919. He had limited success both as a batsman and as a bowler. His only wickets were taken in his very first match, against Lancashire in 1905. As a batsman he reached double figures only twice in a dozen innings and his highest score was 29, made batting at No 11 in his second first-class match, against Kent in 1905. Harcombe settled in Kenya and played minor cricket there for the Settlers side in the 1920s and 1930s.