Clugston is a surname. Notable people with the surname include:

Beatrice Clugston (1827–1888), Scottish philanthropist Chynna Clugston Flores (born 1975), American comic book creator Kate Clugston (1892–1985), playwright, poet and teacher Kathy Clugston (born 1969), Northern Irish newsreader and continuity announcer Lin Clugston, (1908–1993), British amateur cricketer

Other uses Clugston Group, a British company