  Attempts to modify gravity in the infrared typically require a screening
mechanism to ensure consistency with local tests of gravity. These screening
mechanisms fit into three broad classes; we investigate theories which are
capable of exhibiting more than one type of screening. Specifically, we focus
on a simple model which exhibits both Vainshtein and kinetic screening. We
point out that due to the two characteristic length scales in the problem, the
type of screening that dominates depends on the mass of the sourcing object,
allowing for different phenomenology at different scales. We consider embedding
this double screening phenomenology in a broader cosmological scenario and show
that the simplest examples that exhibit double screening are radiatively
stable.
