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Last name Naff (Naff ) , throughout the world, is quite a rare family name. The last name Naff is habitual in Liechtenstein, where it is quite a common surname, Tunisia, where it is a rare surname, and the United States. Measured by absolute frequency, this name is the most popular in the United States, Indonesia, and Tunisia. Likewise, Naff is the forename as well as the last name.