  We analyze the stability of the Higgs sector of a three-site model with
flavor-non-universal gauge interactions, whose spectrum of non-Standard-Model
states spans three orders of magnitude. This model is inspired by
deconstructing a five-dimensional theory where the generation index is in
one-to-one relation to the position in the fifth dimension. It provides a good
description of masses and mixing of the SM fermions in terms of scale
hierarchies. We demonstrate that, within this construction, the mass term of
the SM-like Higgs does not receive large corrections proportional to the
highest mass scales. The model suffers only of the unavoidable "little
hierarchy problem" between the electroweak scale and the lightest NP states,
which are expected to be at the TeV scale.
