The series is based on author Joseph Heller's 1961 novel of the same name, reported Variety.
Set in Italy, the six-part series follows the story of Yossarian, a US Air Force bombardier who doesn't like the increasing number of flight missions being assigned. He is angered by a bureaucratic rule, Catch-22, which specifies that being concerned for one's safety is proof of sanity.
The 56-year-old actor will play the role Yossarian's commander Colonel Cathcart.
Clooney and Grant Heslov, who serve as executive producer, will direct the limited series.
Clooney's stint for a TV series was in medical drama "E R" in the early 1990s.
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