  We consider the most general gauge-invariant, chirality-conserving contact
interactions in the process e +e- -> gamma Z, of the type proposed Abraham and
Lampe, in order to explore the possibility of CP violation at future linear
colliders in the presence of polarized beams. We hereby extend recent work on
CP violation due to anomalous triple-gauge boson vertices. We isolate
combinations of couplings which are genuinely CP violating, pointing out which
of these can only be studied with the use of transverse polarization. We place
constraints on these couplings that could arise from suitably defined CP-odd
asymmetries, considering realistic polarization (either longitudinal or
transverse) of 80% and 60% for the electron and positron beams respectively,
and with an integrated luminosity \int dt L of 500 fb^{-1} at a centre of mass
energy of \sqrt{s}=500 GeV.
