Chaos in the orbital dynamics of Prometheus and Pandora, the 16th and 17th satellites of Saturn, as well as hypothetical chaos in their rotational dynamics, are considered and discussed. The Lyapunov time estimates, calculated analytically by means of a method based on the separatrix map theory, are presented. It is shown that the Lyapunov times of both chaotic orbital and hypothetically chaotic rotational dynamics of the satellites are the smallest ones amongst all known Lyapunov times in the Solar system; thus these two satellites are real “champions” of dynamical chaos.