Claggett, Clagget or Clagett is both a surname and a given name. Notable people with the name include:
Surname:
Anthony Claggett (born 1984), American baseball player
Charles Clagget (1740–c.1795), Irish composer, instrument maker and inventor
Clifton Clagett (1762–1829), American lawyer and politician
Galen R. Clagett (born 1942), American politician (Maryland)
Nicholas Clagett (1685/5–1746), English bishop
Thomas John Claggett (1743–1816), first bishop of Maryland (USA)
Virginia P. Clagett (born 1943), American politician (Maryland)
Walter Clagget (c.1741/2–1798), Irish composer
William H. Clagett (1838–1901), American politician and lawyer
Given name:
Claggett Wilson (1887–1952), American painter
