We evaluate the prospects for detecting a non-standard light Higgs boson wi
th a significant branching ratio to two photons, in run II of the Fermilab
Tevatron. We derive the reach for several channels: 2 gamma inclusive, 2 ga
mma + 1 jet, and 2 gamma + 2 jets. We present the expected run II limits on
the branching ratio of h --> gamma gamma as a function of the Higgs boson
mass, for the case of "bosonic," as well as "top-color" Higgs bosons.