We construct a 1 + 1 dimensional superstring-bit model for D = 3 type
IIB superstring. This low dimension model escapes the problems encount
ered in higher dimension models: (1) It possesses full Galilean supers
ymmetry. (2) For noninteracting polymers of bits, the exactly soluble
linear superpotential describing bit interactions is in a large univer
sality class of superpotentials which includes ones bounded at spatial
infinity. (3) The latter are used to construct a superstring-bit mode
l with the clustering properties needed to define an S matrix for clos
ed polymers of superstring bits.