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Family name Cheuk (Cheuk ) , all around the world, is quite a common surname. The surname Cheuk is habitual in Hong Kong, where it is quite a common surname, Cayman Islands, and Macao, where it is quite a rare surname. Not in comparison with a country's population, it is commonest in Hong Kong, China, and the United States. More frequently, Cheuk is the forename as well as the last name.