No doubt it has a strange appearance at first, but the logic behind its sideways wrist stance makes sense when trying to read the time without having to turn your wrist.
So if, for instance, you turn your wrist over, the active area of your display would move with your wrist and position the visible area of the display on your inside wrist.
Muralitharan was born with a permanently bent arm but it is a double-jointed wrist, perhaps combined with the deformity, which is primarily responsible for the amount of turn he is able to obtain on even the most batsman-friendly surfaces.