Are you suppose to clip the alligator clip on an unpainted or not coated part of the case? My case is painted black from the inside out. Is it still okay if i clip it on a painted part of the case?
More aboutanti static wristband
No, you need a conductor so find something. Even a spare pewter cauldron will do.
The objective is to attach it to an uninsulated piece of metal so it's connected to ground. Paint is usually an insulator, so yes, you want an unpainted part. If your case is generally painted you could clip onto a screw, or a wire fan grating (if you have one). You could even clip onto a motherboard standoff.
or you could go back to shop and buy one that plugs into wall socket