One embodiment of the present invention provides a computer memory system that includes at least one DIMM connector having a DIMM socket for releasably receiving a terminal edge of a DIMM. A metallic or otherwise highly heat-conductive base is secured to the DIMM connector. A pair of heat spreaders is secured to the base on opposing sides of the DIMM socket. Each heat spreader includes a DIMM-engagement portion spaced from the base. The heat spreaders are nondestructively moveable between an open position spaced apart for receiving the DIMM between the heat spreaders and a closed position for thermally engaging opposing faces of the DIMM. The heat spreaders provide a continuous thermally-conductive pathway between the DIMM-engagement portion and the base. Heatsink fins extend laterally from the base to provide cooling.