Massive gravity exhibits a famous discontinuity in its 2-point linearized
amplitude for t-channel scattering of gravitational sources, in the $m \to 0$
limit. In essence, the source of this vDVZ discontinuity is in the failure of
the zero-helicity mode to decouple in this limit. In [1], we showed how this
result could be understood in the context of modern on-shell methods and, in
particular, the BCFW construction. In this article, we provide a similar
on-shell perspective to the equally interesting but lesser known discontinuity
first discovered by Deser, Kay and Stelle in massive supergravity.