A self-resealing septum useful in a closure assembly for a container for storing non-aqueous liquids is provided. The septum having a laminate structure including a first layer of a resilient material derived from chlorobutyl rubber and a second layer of a non-elastic polymer. The self-resealing closure assembly includes the septum and a retaining mechanism that is useful for a container assembly that contains a non-aqueous liquid comprising an organic solvent, a liquid organic compound, a water-reactive or oxygen-reactive compound, or a combination thereof.
