I've had it happen too. The tip and/or leaves turn black and die. I've had one of two things happen. Either new leaves will grow from the tip or new branches will form at the base of the shoot with the dead leaves.
I'm looking at one now. I've got it growing in a narrow plastic bag. The leaves touched the side of the bag that had too much humidity and overnight the leaf turned to mush. I don't think this one died from the tip, but time will tell.