Radiative Decays of Charmonium

We report studies of inclusive, and exclusive production of direct photons in charmonium decay. We find that the ratio of widths $\Gamma(\psi(2S) \to g g \gamma)/\Gamma(\psi(2S) \to ggg)$ is approximately half of the corresponding value for the $J/\psi$. We also report measurements of exclusive charmonium decays to $\eta\gamma$ and $\eta'\gamma$, and comment on the suppression of $\psi(2S)\to\eta\gamma$.