  We develop a theoretical proposal for the charge Kondo effect in mesoscopic
normal-superconductor-normal heterostructures, where the superconducting gap
exceeds the electrostatic charging energy. Charge-Kondo correlations in these
devices alter the conventional temperature-dependence of Andreev reflection and
electron cotunneling. We predict typical Kondo temperatures of $\gtrsim 10 {\rm
mK}$, and suggest experimental architectures that combine superconducting
charge-qubits with semiconducting nanowires at cryogenic temperatures.
