  We study several aspects of supersymmetric models with a $U(1)_R$ symmetry
where the Higgs doublet is identified with the superpartner of a lepton. We
derive new, stronger bounds on the gaugino masses based on current
measurements, and also propose ways to probe the model up to scales of
$\mathcal{O}(10\, \textrm{TeV})$ at future $e^+e^-$ colliders. Since the
$U(1)_R$ symmetry cannot be exact, we analyze the effects of $R$-symmetry
breaking on neutrino masses and proton decay. In particular, we find that
getting the neutrino mixing angles to agree with experiments in a minimal model
requires a UV cutoff for the theory at around $ 10 \text{ TeV} $.
