Glancy is a surname. Notable people with the surname include:
Adam Scott Glancy, game designer
Bertrand Glancy (1882–1953), Irish-born British colonial administrator
Christopher Glancy (born 1960), Catholic bishop in Belize
Daniel Glancy (born 1988), Irish professional tennis player
Diane Glancy (born 1941), Cherokee poet, author and playwright
Harry Glancy (1904–2002), American swimmer
Michael Glancy (born 1950), American glass artist