  We reconsider a model introducing a scalar leptoquark $\phi \sim (\mathbf{3},
\mathbf{1}, -1/3)$ to explain recent deviations from the standard model in
semileptonic $B$ decays. The leptoquark can accommodate the persistent tension
in the decays $\bar{B}\rightarrow D^{(*)}\tau \bar{\nu}$ as long as its mass is
lower than approximately $10 \text{ TeV}$, and we show that a sizeable Yukawa
coupling to the right-chiral tau lepton is necessary for an acceptable
explanation. Agreement with the measured $\bar{B}\rightarrow D^{(*)}\tau
\bar{\nu}$ rates is mildly compromised for parameter choices addressing the
tensions in $b \to s \mu \mu$, where the model can significantly reduce the
discrepancies in angular observables, branching ratios and the
lepton-flavor-universality observables $R_K$ and $R_{K^*}$. The leptoquark can
also reconcile the predicted and measured value of the anomalous magnetic
moment of the muon and appears naturally in models of radiative neutrino mass
derived from lepton-number violating effective operators. As a representative
example, we incorporate the particle into an existing two-loop neutrino mass
scenario derived from a dimension-nine operator. In this specific model, the
structure of the neutrino mass matrix provides enough freedom to explain the
small masses of the neutrinos in the region of parameter space dictated by
agreement with the anomalies in $\bar{B}\rightarrow D^{(*)}\tau \bar{\nu}$, but
not the $b \to s$ transition. This is achieved without excessive fine-tuning in
the parameters important for neutrino mass.
