  We study chaos in a classical limit of the Sachdev-Ye-Kitaev (SYK) model
obtained in a suitably defined large-S limit. The low-temperature Lyapunov
exponent is found to depend linearly on temperature, with a slope that is
parametrically different than in the quantum case: it is proportional to N/S.
The classical dynamics can be understood as the rotation of an N-dimensional
body with a random inertia tensor, corresponding to the random couplings of the
SYK Hamiltonian. This allows us to find an extensive number of fixed points,
corresponding to the body's principal axes of rotation. The thermodynamics is
mapped to the p-spin model with p=2, which exhibits a spin glass phase at low
temperature whose presence does not preclude the existence of chaos.
