I was under the impression that "Taze" had started out as a nickname, taken from the old Warner Bros. cartoon character "Tasmanian Devil". I know there's a professional wrestler who calls himself "Taze", and that's to draw in allusion to the whirlwind destructiveness of the Tasmanian Devil character.
I wouldn't be at all surprised to discover that parents have started naming their sons "Taze" these days.
-- Nanaea