After initially training karate, Cucin started playing football at Srem Jakovo.[1] He later joined the youth system of Partizan. In the summer of 2016, Cucin was loaned to affiliated side Teleoptik. He helped them win the Serbian League Belgrade in the 2016–17 season, as the club earned promotion to the Serbian First League. In early 2018, Cucin was recalled from his loan at Teleoptik and returned to Partizan.[2]