  Using 13.8 fb^{-1} of data collected at or just below the \Upsilon(4S) with
the CLEO detector, we report the result of a search for the flavor changing
neutral current process D^{0} \to \gamma\gamma.
  We observe no significant signal for this decay mode and determine 90%
confidence level upper limits on the branching fractions Br(D^{0}\to
\gamma\gamma)/Br(D^{0}\to\pi^{0}\pi^{0}) < 0.033 and Br(D^{0}\to\gamma\gamma) <
2.9 \times 10^{-5}.''
