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 (1686–1746), English bishop Steve Claggett (born 1989), Canadian professional boxer Thomas John Claggett (1743–1816), first bishop of Maryland Virginia P. Clagett (born 1943), American politician (Maryland) William B. Clagett (1854–1911), American farmer and politician William H. Clagett (1838–1901), American politician and lawyer

Given name: Claggett Wilson (1887–1952), American painter

See also Claggett's Brewery, a 19th-century brewery in Maryland (US) Claggett Middle School Claggett Shale, a geographical formation in Montana (US)