A convenience light for illuminating small interior spaces of enclosures, such as furniture, chests, jewelry boxes and the like, has a battery powered LED lamp. A mechanical or magnetic switch device is used to automatically turn on and off the LED by opening and closing the movable member (drawer, door, etc.) of the enclosure. The low power consumption LED provides lengthy continuous use of the light with a tiny watch battery. The LED and watch battery allow the housing to have a small form factor for discrete placement in the enclosure at various positions. In variations forms, the device can include a reflective surface at the exterior of the housing adjacent the lamp and a mechanism to articulate the lamp to direct the light in a specific direction.