  Novel leptophilic neutral currents can be tested at upcoming neutrino
oscillation experiments using two complementary processes, neutrino trident
production and neutrino-electron ($\nu-e$) elastic scattering. Considering
generic anomaly-free $U(1)$ extensions of the Standard Model, we discuss the
characteristics of $\nu-e$ scattering as well as $e^+e^-$ and $\mu^+\mu^-$
trident production at the DUNE near detector in the presence of such BSM
scenarios. We then determine the sensitivity of DUNE in constraining the
well-known $L_e - L_\mu$ and $L_\mu - L_\tau$ models. We conclude that DUNE
will be able to probe these leptophilic models with unprecedented sensitivity,
covering unproved explanations of the $(g-2)_\mu$ discrepancy.
