Clarke played for Tottenham Hotspur's academy.[3] After playing for Bedfont Sports, he joined Hendon in August 2020.[4] He made his debut on 25 August, in a London Senior Cup match against Wingate & Finchley, which finished 3–1 to Hendon.[5] In his first season with Hendon, he made 14 appearances and scored 3 times, and signed a contract extension the following season.[6] He won the Hendon Young Player of the Year award in the 2021–22 season.[7] Across his 2 seasons with the club, he made 63 appearances and scored 11 goals.[8][9]
The following summer, he went on trial with National League South side Dulwich Hamlet, playing in 7 pre-season friendlies before securing a move to the club in August 2022.[10] He made his National League South debut on 7 August, the first game of the season; he came on for Kreshnic Krasniqi in the 64th minute, and scored the winner to win the match 2–1.[11] He won the August and December Dulwich Hamlet Player of the Month awards, and also the National League South Player of the Month in December.[12]
Clarke signed for Gillingham in January 2023.[3][13][14] By March he had played one game for the club in the Kent Senior Cup, and was linked with a loan move away, but the club decided to retain him.[15][16] He made his Football League debut on 22 April 2023, in a 2–2 draw against Bradford.[17][18] On 8 May 2023, he made his first start in a 2–0 victory against Salford.[19] His first goals for the club came on 14 September 2024, where he got a brace in a 3–0 win against Tranmere Rovers.[20] He was released from his contract at Gillingham at the end of the 2024–25 season.[21]
On 10 July 2025, Clarke signed for Forest Green Rovers of the National League.[22][23]