  Spin states of two-dimensional Wigner clusters are considered at low
temperatures, when all electrons are in ground coordinate states. The spin
subsystem behavior is determined by antiferromagnetic exchange integrals. The
spin states in such a system in the presence of a magnetic field are described
in terms of the Ising model. The spin structure, correlation function, and
magnetic susceptibility of the cluster are found by computer simulations. It is
shown that the spin susceptibility experiences oscillations with respect to the
magnetic field, owing to the magnetoinduced spin subsystem rearrangements.
