Klebanov was a violinist in the Leningrad Kirov Orchestra. He returned to Kharkov to study with Herman Adler. He conducted the Kharkov Radio Orchestra in the 1930s. He lectured at the Kharkiv Music and Drama Institute from 1934.[1] Early compositions included the ballets Lelechnia (Little Storks) and Svitlana, and a violin concerto.[1]
During World War II, Klebanov was evacuated to Tashkent in the Uzbek SSR, until he returned in 1943, settling first in Kyiv, then in 1945 in Kharkiv again. He was appointed head of the local branch of the Union of Composers of Ukraine and head of the department for composition Department of Music and Drama Institute. When he dedicated his First Symphony "In Memoriam to the Martyrs of Babi Yar" (1947) to the victims of the Babyn Yar massacre he was criticized by Communist party critics, citing naming him a "rootless cosmopolitan", alluding to his Jewish roots. He had been called a "Ukrainian bourgeois nationalist" when he had dedicated his String Quartet No. 4 to the memory of Mykola Leontovych. He was dismissed from his posts.
Four Preludes and Fugues (Четыре прелюдии и фуги) (1975)
Heroic poem, dedicated to the 30th anniversary of Victory in the Great Patriotic War (Героическая поэма, посвященная 30-летию победы в Великой Отечественной войне) (1975)
Suite No.2 for chamber orchestra (1976)
Symphony No.6 (1981)
Symphony No.7 (1982)
Symphony No.8 "Poeme about bread" for soprano, bass and orchestra (1983)
Symphony No.9 (1989)
Concertante
Concerto No.1 for violin and orchestra (1939)
Poem-Fantasia on a Theme of Nishchinsky (Поэма-фантазия на тему Нищинского) for cello and orchestra (1950)