Looks like a Fender Jaguar and I don't know any famous Jazzers who use it, they prefer arch top semis. Usually has the late-'50s "C"-shape neck.
The Fender Jazzmaster is another classic offset guitar celebrated for its rich, mellow tone and smooth playability. With its wider, flatter neck profile and unique circuitry featuring rhythm and lead circuits, the Jazzmaster offers a versatile sonic palette that's favored by indie, shoegaze, and alternative rock musicians. Its soapbar pickups deliver a warm, articulate sound, while the innovative floating tremolo system allows for expressive pitch modulation and subtle vibrato effects.