  A search for the exclusive radiative decays B->rho(770) gamma and
B^0->omega(782) gamma is performed on a sample of 84 million BB-bar events
collected by the BABAR detector at the PEP-II asymmetric e^+e^- collider. No
significant signal is seen in any of the channels. We set preliminary upper
limits of BR[B^0->rho^0 gamma]< 1.4 times 10^{-6}, BR[B^+ -> rho^+ gamma] < 2.3
times 10^{-6} and BR[B^0 -> omega gamma]< 1.2 times 10^{-6} at 90% Confidence
Level. Combining these into a single limit on the generic process B-> rho
gamma, we find the preliminary limit BR[B -> rho gamma]<1.9 times 10^{-6},
corresponding to a limit of BR[B -> rho gamma]/BR[B-> K* gamma] < 0.047 at 90%
Confidence Level.
