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Last name Cleave (Cleave , 克里夫 ) , all around the world, is quite a rare surname. The family name Cleave is characteristic of Marshall Islands, where it is a common surname, Isle of Man, where it is quite a rare surname, and New Zealand. Measured by absolute frequency, it most frequently occurs in the United Kingdom, the United States, and Kenya. Much less frequently, Cleave is the forename as well as the last name.