Clune is a surname. Notable people with the surname include:
Conor Clune (1893–1920), Irish Bloody Sunday casualty
Deirdre Clune (born 1959), Irish politician
Don Clune (born 1952), American football player
Frank Clune (1893–1971), Australian writer
Henry W. Clune (1890–1995), American journalist and novelist
Jackie Clune (born 1965), British entertainer and writer
John J. Clune (1932–1992), former Director of Athletics at the United States Air Force Academy
Patrick Clune (1865–1935), first Archbishop of the Roman Catholic archdiocese of Perth, Western Australia
Richard Clune (born 1987), Canadian ice hockey player
Wally Clune (born 1931), Canadian retired ice hockey player
Michael W. Clune (born 1976), American writer and critic