  In this note we analyse the equations of motion of a minimally coupled
Rarita-Schwinger field near the horizon of an anti-de Sitter-Schwarzschild
geometry. We find that at special complex values of the frequency and momentum
there exist two independent regular solutions that are ingoing at the horizon.
These special points in Fourier space are associated with the `pole-skipping'
phenomenon in thermal two-point functions of operators that are holographically
dual to the bulk fields. We find that the leading pole-skipping point is
located at a positive imaginary frequency with the distance from the origin
being equal to half of the Lyapunov exponent for maximally chaotic theories.
