In supersymmetric models a tree-level neutrino mass could originate fr
om the (weak-scale) superpotential. We propose and examine a realizati
on of that idea, which arises naturally in the framework of a spontane
ously broken U(1) R-symmetry. The solution to the neutrino mass proble
m could shed light in this framework on the possible resolution of the
mu-problem. Furthermore, the suppression of the neutrino mass in comp
arison to the weak scale arises dynamically and need not be encoded in
the superpotential. The latter mechanism operates, for example, in un
iversal models for the soft supersymmetry breaking terms. Phenomenolog
ical and cosmological implications of the model are also discussed, so
me of which are shown to hold more generally. We also note that future
signatures could include observable enhancement of dijet and multijet
production rates and a correlation between the supersymmetric and neu
trino spectra.