Rand Paul (Ron Pauls son not named after Ayn as far as I know) just announced his well, not his candidacy, exactly, but his exploratory committee-hood-ness, on Rachel Maddows show.
I took a look at his website to see whether there were any issues where he disagreed significantly with his father, but I didnt notice any. (But the website covers a fairly narrow range of issues; theres nothing listed, for example, on drugs, immigration, abortion, or gay rights. I reckon hes trying to avoid alienating either libertarians or conservatives.) My overall reaction to the website was … well, boredom. Still, I wish him well in his combat with modal Republicans.