We extend our previous analysis of the sensitivity of the energy depen
dence of the polarization asymmetry in gamma e-->W nu to the possible
existence of anomalous trilinear gauge couplings to the gamma e-->Ze c
ase. We find that by combining the constraints imposed by both the ene
rgy dependence of the total cross section and polarization asymmetry,
strong limits on the anomalous gamma ZZ couplings are obtainable at th
e Next Linear Collider. Further constraints obtained from a considerat
ion of the angular distribution are briefly discussed.