  We study the phenomenological viability of chiral extensions of the Standard
Model, with new chiral fermions acquiring their mass through interactions with
a single Higgs. We examine constraints from electroweak precision tests, Higgs
physics and direct searches at the LHC. Our analysis indicates that purely
chiral scenarios are perturbatively excluded by the combination of Higgs
coupling measurements and LHC direct searches. However, allowing for a partial
contribution from vector-like masses opens up the parameter space and
non-decoupled exotic leptons could account for the observed 2$\sigma$ deviation
in $h \to Z\gamma$. This scenario will be further tested in the high-luminosity
phase of the LHC.
