Abstract: The relationship between quantum and classical mechanics is peculiar. On the one hand, the two are entirely different as easily demonstrated via multiple examples in quantum information science (communication, computing, control, and sensing). On the other hand, the world of everyday experience follows classical laws to high accuracy; how this outcome actually obtains, if quantum mechanics is universally applicable, is not entirely obvious. One of the most interesting areas where the tension between quantum and classical mechanics is the most apparent is in the study of dynamical chaos. In this review talk, I will attempt to explain what the central issues are, how they are resolved, and list a number of open questions.