A lid is provided for use as a cover on a beverage container or other dispensing device, wherein the lid includes a dispensing spout therein for dispensing of the container contents therefrom. A flexible connector arm extends around at least a portion of the periphery of the lid and includes a fixed end fixedly attached to the lid at a first arcuate position thereof and a free end frangibly connected to the lid by a frangible tab located at a second arcuate position of the lid. The free end of the connector arm can be detached from the lid by tearing along a tear line provided in the connector arm spaced radially outwardly from the frangible tab. In this manner, detaching of connector arm from the lid occurs by a discrete tear line propagated through the connector arm, rather than through the lid flange, thereby allowing for detachment of the connector arm from the lid without compromising the integrity of the seal between the lid and the cup. A plug may be provided near the free end of the connector arm, which such plug may be removably inserted into dispensing spout of the lid once the connector arm is detached from the lid.