Click,Clickety, goes the Starter???

I drove around in Orangedust today, and I am having a hard time
figuring out this start-up problem.
I have a remake Mopar yellow-cap battery, and it is holding 12 volts, I
get a good initial start in the morning, but when I shut it off ....
and try to re-start her it gives me this awful CLICK, CLICK, CLICKETY,
noise from the starter. I put some new cables on and it still does it
after I shut it down. It sounds like a GM solenoid clickey noise...
When I hook up a battery charger to it , it cranks normal like a
ZZ TOP tune Manic Maniac, you know the ... VVVVVVV....VROOoommm.
Is my original starter bad or is it something else......
What do you think guys, I keep charging the battery and testing it and
it shows me 14 when running and 12 when not running.
It is not a Chryco Product unless it has the Hi- wind starter, I love it...
Any Ideas!!!