Cut and thrust is a description of how swords like the rapier are used to wound the opponent.
Cut and thrust swords are heavier swords than many primarily thrusting swords and were designed to be used for both cutting and thrusting.
Cut & Thrust in the SCA
Cut and thrust is the name of an alternate set of combat laws for fencing that is recognised by the SCA. In its early stages, it also went by the name of side sword fencing.