In a universe with inhomogeneous reionization, the ionized patches create a
second-order signal in the cosmic microwave background polarization anisot
ropy. This signal originates in the coupling of the free-electron fluctuati
on to the quadruple moment of the temperature anisotropy. We examine the co
ntribution from a simple inhomogeneous reionization model and find that the
signal from such a process is below the detectable limits of the Planck Su
rveyor mission. However, the signal is above the fundamental uncertainty li
mit from cosmic variance, so that a future detection with a high-accuracy e
xperiment on subarcminute scales is possible.