While researching that very same problem with my 1985 I found this site. Mine turned out to be a bad plastic circuit board on the back of the speedometer. I went to a pick and pull and found a replacement cluster, worked like a charm..
That exact same thing happened to me, as well. The problem (for me, anyway.) was one of the dash light bulbs had melted its hole in the cluster. My constantly trying to get it to tighten up tore up the printed circuit that fed power to it, and it eventually caused a short.
Mine, however, blew the fuse for the instrument cluster whenever I turned on the lights.