A lamp unit includes a base having a Reed switch, a telescopic stem extending upwardly from the base, a light source fitted at the top of the step, and a rechargeable battery fitted around the stem and below the light source. A docking station includes one or more magnets, an upstanding ring, and positive and negative contacts disposed in the center of the upstanding ring. The base of the lamp unit defines an aperture configured to be positioned over the circular ring so that the lamp unit may rotate on the docking station. Rotation of the lamp on the docking station is arranged such that the magnets actuate the Reed switch for turning the light source ON or OFF.