A closure (20, 20A) is provided for a container that has an opening to the container interior wherein contents may be stored. The closure (20, 20A) includes the following: (A) a closure body (30, 30A) defining (i) a pour aperture (50) that can communicate-with the container opening and that can accommodate pouring out of the contents through the pour aperture (50), and (ii) at least one vent aperture (60) that can communicate with the container opening and that can accommodate the in-venting of ambient atmosphere through the vent aperture (60) into the container, and (B) a lid (32, 32A) for closing the closure (20, 20A). The pour aperture (50) has an elongate configuration oriented along a central axis line (A) that bisects the pour aperture (50) and closure body (30).