Sounds like your light/foglight switch may be going bad or sticking. The green light on the lefthand side of the instrument cluster is for factory fog lights, have you checked to see if your foglights are automatically coming on with your headlights? Or do you even have fog lights? If you do then prolly just got some dirt or something in the pull out part of the multi function "stalk".
01 TJ. Dana 30/44 4:88's, 4.0 5 speed, 38.5x15 Boggers on 15x10 Streetlocks, CAI, B&M short throw, Neoprene Covers, 4" RC, 3" BL, too much to list and building. >..<