Where did the click at end come from? I tried to look but I didn't see clutch even flicker when I heard noise, but my eyes are not as they used to be either. Just looks like clutch is not engaging to turn compressor. That could be low freon which in turn your low pressure switch would be preventing it from doing. And are you referring to grinding sound in beginning? Is it indeed coming from a/c comp./clutch ? If so I'd say clutch sounds a little done. Or is it the alternator right below it.