  We consider light neutralinos of mass about 1 GeV, produced from $\tau$
lepton rare decays at Belle II, in the context of R-parity-violating (RPV)
supersymmetry. With large and clean samples of $\tau$ leptons produced at the
Belle II experiment, excellent sensitivity to such light neutralinos with the
exotic signatures of displaced vertices is expected. We focus on two benchmark
scenarios of single RPV operators, $\lambda'_{311} L_3 Q_1 \bar{D}_1$ and
$\lambda'_{312} L_3 Q_1 \bar{D}_2$, which induce both the production and decay
of the lightest neutralino. For the reconstruction of a displaced vertex, we
require at least two charged pions in the final states. We perform Monte-Carlo
simulations for both signal and background events, and find that Belle II can
explore regions in the parameter space competitive with other probes. In
particular, for the $\lambda'_{311}$ scenario, it can put limits up to two
orders of magnitude stronger than the current bounds.
