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Surname Cuff (Kuffa , Cuff , Cuffe ) , worldwide, is quite a common cognomen. The surname Cuff is habitual in Jamaica, where it is quite a common surname, Ireland, where it is quite a rare surname, and New Zealand. Not in comparison with a country's population, this name is the most popular in the United States, the United Kingdom, and Australia. Much less frequently, Cuff is the forename as well as the last name.