A compact air-bump stop (jounceshock) provides improved motor vehicle suspension system accommodation of jounce and rebound than is provided than by a conventional shock absorber, bump cushion and/or air-bump stop. In an independent jounceshock, a primary shell and a secondary shell are reversibly collapsible into each other, and a valved piston demarcates a primary chamber within the primary shell and a secondary chamber within the secondary shell, both of which being filled with a mixture of pressurized gas, preferably nitrogen, and oil. The valving of the valved piston allows for selectively unidirectional, metered movement of the oil therethrough in concert with the direction of movement of the secondary shell with respect to the primary shell. In an integrated jounceshock, a compact air-bump stop is integrated with a shock absorber.