A structurally compact connector that dissipates heat quickly and efficiently is disclosed. The connector includes a housing having a plug receiving space. An elastic member is positioned on the housing, and is displaceable outward from the housing. A protrusion is positioned on an inner surface of the elastic member and extends into the plug receiving space. A thermally conductive element is disposed on an outer surface of the elastic member and is contactable with a heat sink positioned outside of the housing.