  We update phenomenological constraints on a Two Higgs Doublet Model with
lepton flavour non-conserving Yukawa couplings. We review that $\tan \beta$ is
ambiguous in such "Type III" models, and define it from the $\tau$ Yukawa
coupling. The neutral scalars $\phi$ could be searched for at hadron colliders
in $ \phi \to \tau \bar{\mu}$, and are constrained by the rare decay $\tau \to
\mu \gamma$. The Feynman diagrams for the collider process, with Higgs
production via gluon fusion, are similar to the two-loop "Barr-Zee" diagrams
which contribute to $\tau \to \mu \gamma$. Some "tuning" is required to obtain
a collider cross-section of order the Standard Model expectation for $\sigma
(gg \to h_{SM} \to \tau^+ \tau^-)$, while agreeing with the current bound from
$\tau \to \mu \gamma$.
