I had the same problem with mine. But then it worked one day. If I turn on my driving lights, the cig lighter works. Turn off driving lights, and cig lighter does not work. This car seems to always amaze me. Someday I will take the time to see what gives. Its like number 25 on my things to fix on the 335i list.
Currently own: 1965 Backdraft Cobra Replica, 2013 SVT Raptor, 2014 Jeep GC and 2004 Malibu VLX, 2016 Golf-R