  When the Froggatt-Nielsen mechanism is used to explain the Standard Model
flavor hierarchy, new physics couplings are also determined by the horizontal
symmetry. However, additional symmetries or dynamics in the UV can sometimes
lead to a departure from this na\"ive scaling for the new physics couplings. We
show that an effective way to keep track of these changes is by using the new
spurions of the $\mathrm{U}(3)^5$ global flavor symmetry, where we parameterize
extra suppression or enhancement factors, referred to as wrinkles, using the
same power counting parameter as in the original Froggatt-Nielsen model. As a
concrete realization, we consider two flavor spurions of the $S_1$ leptoquark,
and demonstrate that wrinkles can be used to make an enhanced value of
$\textrm{BR}(B^+ \to K^+\nu\bar{\nu})$ consistent with other flavor
observables. We also present example UV models that realize wrinkles, and
comment on choosing consistent charges in ordinary Froggatt-Nielsen models
without the typical monotonicity condition.
