An anti-puncture-wound, self-sealing coating structure applicable to the outside surface of a liquid-container wall having a puncture-flowering propensity. The coating structure, in operative condition relative to such a wall, includes (a) an inner, puncture-response layer disposed immediately adjacent the outside surface of the wall, formed of a flower-indifferent material possessing a thickness which is greater than the expected depth of a puncture flower produced in the wall, and (b) an outer, puncture-response layer operatively associated with the inner layer, disposed upwardly adjacent the inner layer, formed, at least in part, of a high-elastomeric material possessing a self-sealing characteristic which reacts in a self-sealing manner to any puncture-produced exposure of the outer layer material to liquid leaking from the container.