  We examine the contributions to rare processes that arise in models where the
Standard Model fermions are localized at distinct points in compact extra
dimensions. Tree-level flavor changing neutral current interactions for the
Kaluza-Klein (KK) gauge field excitations are induced in such models, and hence
strong constraints are thought to exist on the size of the additional
dimensions. We find a general parameterization of the model which does not
depend on any specific fermion geography and show that typical values of the
parameters can reproduce the fermion hierarchy pattern. Using this
parameterization, we reexamine the contributions to neutral meson mixing, rare
meson decays, and single top-quark production in $e^+e^-$ collisions. We find
that is it possible to evade the stringent bounds for natural regions of the
parameters, while retaining finite separations between the fermion fields and
without introducing a new hierarchy. The resulting limits on the size of the
compact dimension can be as low as TeV$^{-1}$.
