We study Compton scattering, gamma e --> gamma e, in the context of the rec
ent proposal for weak scale quantum gravity (WSQG) with large extra dimensi
ons. It is shown that, with an ultraviolet cutoff M(S)similar to 1 TeV for
the effective gravity theory. the cross section for this process at the Nex
t Linear Collider (NLC) deviates from the prediction of the standard model
significantly. Our results suggest that, for typical proposed NLC energies
end luminosities. WSQG can be tested in the range 4 TeV less than or simila
r to M(S)less than or similar to 16 TeV, making gamma e --> gamma e an impo
rtant test channel.