  The `Chern-Simons Quantum Mechanics' of a particle on CP(n|m) is shown to
yield the fuzzy descriptions of these superspaces, for which we construct the
non-(anti)commuting position operators. For a particle on the supersphere
CP(1|1) = SU(2|1)/U(1|1), the particle's wave-function at fuzziness level 2s is
shown to be a degenerate irrep of SU(2|1) describing a supermultiplet of SU(2)
spins (s-1\2, s).
