  We consider the consequences of a neutral dark-matter particle with a nonzero
electric and/or magnetic dipole moment. Theoretical constraints, as well as
constraints from direct searches, precision tests of the standard model, the
cosmic microwave background and matter power spectra, and cosmic gamma rays,
are included. We find that a relatively light particle with mass between an MeV
and a few GeV and an electric or magnetic dipole as large as $\sim 3\times
10^{-16}e$ cm (roughly $1.6\times10^{-5} \mu_B$) satisfies all experimental and
observational bounds. Some of the remaining parameter space may be probed with
forthcoming more sensitive direct searches and with the Gamma-Ray Large Area
Space Telescope.
