Henry Cluney (born 4 August 1957) is an Irish punk rock guitarist and former member of the band Stiff Little Fingers. He remained with the group until lead singer Jake Burns disbanded them in 1983.
He toured briefly with the band Dark Lady supporting Jake Burns and the Big Wheel, notably at the Marquee Club in Wardour Street but then spent five years back in Belfast teaching guitar until Stiff Little Fingers was reformed.