  We report on a new measurement of the decay KL -> pi0 gamma gamma by the KTeV
experiment at Fermilab. We determine the KL -> pi0 gamma gamma branching ratio
to be (1.68 +/- 0.07 +/- 0.08)x10**-6. Our data shows the first evidence for a
low-mass gamma gamma signal as predicted by recent O(p**6) chiral perturbation
calculations that include vector meson exchange contributions. From our data,
we extract a value for the effective vector coupling aV = -0.72 +/- 0.05 +/-
0.06.
