  Over the preceeding twenty years, the role of underlying classical dynamics
in quantum mechanical tunneling has received considerable attention. A number
of new tunneling phenomena have been uncovered that have been directly linked
to the set of dynamical possibilities arising in simple systems that contain at
least some chaotic motion. These tunneling phenomena can be identified by their
novel $\hbar$-dependencies and/or statistical behaviors. We summarize a
sampling of these phenomena and mention some applications.
