  We show that, in a $U(1)_{R-L}$-symmetric supersymmetric model, the
pseudo-Dirac bino and wino can give rise to three light neutrino masses through
effective operators, generated at the messenger scale between a SUSY breaking
hidden sector and the visible sector. The neutrino-bino/wino mixing follows a
hybrid type I+III inverse seesaw pattern. The light neutrino masses are
governed by the ratio of the $U(1)_{R-L}$-breaking gravitino mass, $m_{3/2}$,
and the messenger scale $\Lambda_M$. The charged component of the
$SU(2)_L$-triplet, here the lightest charginos, mix with the charged leptons
and generate flavor-changing neutral currents at tree level. We find that
resulting lepton flavor violating observables yield a lower bound on the
messenger scale, $\Lambda_M \gtrsim (500-1000)~{\rm TeV}$ for a simplified
hybrid mixing scenario. We identify interesting mixing structures for certain
$U(1)_{R-L}$-breaking singlino/tripletino Majorana masses. For example, in some
parameter regimes, bino or wino has no mixing with the electron neutrino. We
also describe the rich collider phenomenology expected in this neutrino-mass
generation mechanism.
