  We study the constraints that can be placed on anomalous $\tau$-lepton
couplings at the LHC. We use an effective Lagrangian description for physics
beyond the standard model which contains the $\tau$-lepton anomalous magnetic
moment, electric dipole moment and weak dipole moments in two operators of
dimension six. We include in our study two additional operators of dimension
eight that directly couple the $\tau$-leptons to gluons and are therefore
enhanced at the LHC. We consider the two main effects from these couplings:
modifications to the Drell-Yan cross-section and to the $\tau$-lepton pair
production in association with a Higgs boson. We find that a measurement of the
former at the 14% level can produce constraints comparable to existing ones for
the anomalous dipole couplings; and that a bound on the latter at a sensitivity
level of $500\ \sigma_{SM}$ or better would produce the best constraint on the
$\tau$-gluonic couplings.
