  We investigate whether known properties of the $\eta'$ meson are consistent
with its being the Goldstone boson of the spontaneously broken anomaly-free R
symmetry required in the light gluino scenario. We fit the masses and $2\gamma$
decays of the $\eta$ and $\eta'$ mesons, and also their production in radiative
$J/\psi$ decays. We find that the $\eta-\eta'$ system is well-described in the
light gluino scenario, if $m_\lambda\simeq (84-144) MeV$ and
$<{\bar\lambda}\lambda> \simeq -(0.15-0.36) GeV^3$. These values are in the
range expected when the gluino gets its mass entirely from radiative
corrections.
