Clawson is a surname. Notable people with the surname include:
Adam Clawson (born 1972), American slalom canoeist
Augusta Clawson, author of Shipyard Diary of a Woman Welder
Cynthia Clawson (born 1948), American gospel singer
Dave Clawson (born 1967), American football player and coach
John Clawson (born 1944), American basketball player
L.D. Clawson (died 1937), American cinematographer
Loretta Clawson (born 1944), American politician
Martin Clawson, English rugby league player
Patrick Clawson (born 1951), American economist
Rudger Clawson (1857–1943), American LDS Church official
Rodney Clawson, American country music songwriter
Terry Clawson (1940–2013), English rugby league player
Tim Clawson (born 1960), American film and television producer, film studio executive and screenwriter