Is it the OEM clock and when you say it stays on you mean it displays when the key is removed,have you traced the wiring to see if it was not changed from a PO it may be redirected to a constant hot wire,the clock does always run but it will dim out when the key is in the remove position unless yours is stuck in the ACC position which also may be possible does the radio work also when the key is removed.
Ok, I went back in the truck this morning to check it out. The clock wasn't ON! I switch the key to ACC and reopened. I switch back and forward from ACC and OFF and everytime the clock was switching ON/OFF!
So I will assume that the truck did try to tell me something yesterday... who knows.
Thanks for the answer Dieseler!
Just for the record, it's looks like the OEM clock and the wires looks fine.