  We consider a model of neutrino mass based on R-parity violating (RPV)
supersymmetry, with three $\mu_i$, relevant for bilinear RPV terms, and three
$\lambda'_{ijk}$, relevant for the trilinear terms. The present neutrino data,
after a precise determination of the mixing angle $\theta_{13}$, severely
constrain such models. We make a thorough study of one such class of models
that may have interesting signatures at the upgraded LHC. In this class of
models, the relevant trilinear couplings are of the form $\lambda'_{i33}$, so
if the lighter stop squark $\tilde{t}_1$ is the lightest supersymmetric
particle (LSP), it will decay only through these couplings, giving rise to
events with isolated hard leptons and jets. Even when $\tilde{t}_1$ is the
next-to-LSP (NLSP), it can decay via the tiny $\lambda'$ couplings allowed by
the neutrino data, although it may face stiff competition from some R-parity
conserving decay modes. Using a simple Pythia based simulation, we find that in
both the cases the signal consisting of a pair of oppositely charged leptons
($ee$, $\mu \mu$ or $e \mu $) plus jets may be observable at the upgraded LHC
experiments for a reasonable range of the $\tilde{t}_1$ mass.
