  We compute the order-$\as$ corrections to the total cross section and to jet
rates for the process $\epem\to\epem +$ hadrons, where the hadrons are produced
through crossed-channel quark exchange in the hard scattering of two off-shell
photons originating from the incoming leptons. We use a next-to-leading order
general-purpose partonic Monte Carlo event generator that allows the
computation of a rate differential in the produced leptons and hadrons. We
compare our results with the available experimental data for $\epem\to\epem +$
hadrons at LEP2.
