Possible to connect new stereo with a clock?

I've installed hundreds of stereos in my life, I used to repair original equipment Mopar GM and Ford radios. I also worked for Audiovox. Your problem is that the memory wire is not staying hot when the key is off. There should be two wires, one that stays hot all the time (typically orange or yellow but verify by reading your instructions) and and one that switches on and off with the ignition (typically red). The lighter circuit is a good choice for the memory wire .Again check instructions that came with your radio in verify these wire colors.