Not much is known about the character, although judging from appearance, he is quite possibly blind, with the pale blue tint over his iris and pupils and indeterminate stare.
He was Aunty Entity's personal ambiance musician, playing various sax pieces in the style of movie music cues to set the mood in her home. This is evidenced by his taking orders from Aunty to play music that sets the mood whenever told or asked to, such as when she is telling Max about her life before the apocalypse, telling Tattoo to "play something tragic," by which he does, playing a jazz song similar to music you would hear in 1940's P.I. serials when a detective tells of the case he's following.
The character is one of the most-oddly dressed in the film, wearing simply a sumo loincloth, a long necklace, and most importantly to the character, his saxophone, which is almost immediately damaged in Aunty's "audition" with Max, when an arrow is shot at Max but buries itself in Ton Ton's saxophone, throwing his song off in a high-pitched, comedic, almost cartoonish sound.