  In supersymmetric models whose gauge group includes an additional U(1) factor
at the TeV scale, broken by the VEV of an standard model singlet S, the
parameter space can accommodate a very light neutralino not ruled out
experimentally. This higgsino-like fermion, stable if R-parity is conserved,
can make a good cold dark matter candidate. We examine the thermal relic
density of this particle and discuss the prospects for its direct detection if
it forms part of our galactic halo.
