Cluskey is a surname. Notable people with the surname include:

Charles B. Cluskey (ca. 1808–1871), American architect Frank Cluskey (1930–1989), Irish Labour Party politician James Cluskey (born 1986), Irish tennis player May Cluskey (1927–1991), Irish stage, film and television actress Michael Walsh Cluskey (1832–1873), Confederate politician Stephen Cluskey (born 1984), social entrepreneur and advocate

See also McCluskey, surname The Bachelors, musical ensemble