A closure used on a beverage container has an outlet neck centered on an axis. The closure has a mount secured to the neck and a valve body formed with an outwardly open passage extending along a passage axis generally coaxial with the outlet-neck axis. This body is pivotally displaceable in the mount about a valve-body axis generally coaxial with the passage axis and outlet-neck axis between an open position and a closed position and through an intermediate position. Structure on the valve body and mount block flow through the passage in the closed position, allow free flow through the passage in the open position, and limit flow through the passage in the intermediate position.