Clague is a surname of Manx origin. Notable people with the surname include:
Arthur Clague (1915-1983), Archdeacon of Man (the Isle of Man)Sir Douglas Clague (1917-1981), British entrepreneur in Hong KongFrank Clague (1865–1952), U.S. Representative from MinnesotaDr. John Clague (1842 - 1908) Physician and collector of Manx musicSir John Clague (1882 - 1958), a British Civil Servant engaged in the administration of Burma during World War IIJohn J. Clague (born 1946), Canadian authority in Quaternary and environmental earth sciencesJohn Clague (1928–2004), American artist and sculptorPaul Clegg or Clague (b. 1817) a successful fishmonger in Liverpool, the great-grandfather of the Beatle Paul McCartney