Cosmic microwave background (CMB) anisotropies probe the primordial de
nsity field at the edge of the observable Universe. There is a limitin
g precision (''cosmic variance'') with which anisotropies can determin
e the amplitude of primordial mass fluctuations. This arises because t
he surface of last scatter (SLS) probes only a finite two-dimensional
slice of the Universe. Probing other SLS's observed from different loc
ations in the Universe would reduce the cosmic variance. In particular
, the polarization of CMB photons scattered by the electron gas in a c
luster of galaxies provides a measurement of the CMB quadrupole moment
seen by the cluster. Therefore, CMB polarization measurements toward
many clusters would probe the anisotropy on a variety of SLS's within
the observable Universe, and hence reduce the cosmic-variance uncertai
nty. [S0556-2821(97)04820-0].