Alison is much too generous. I usually agree completely that The thing about interns is that they’re there in part to learn work norms, and your role is in part to teach them. But this guy is a grifter, an asshole, and on track to be a crook:

• Apparently falsifying his time sheet. He retroactively edited an already-submitted time sheet from several weeks ago, adding an extra six hours. When I emailed him to ask for an explanation, he never answered. (emphasis mine, obviously)
• These infractions happened despite HR having several talks with him about the matter. The HR lady sent me an exasperated email that he has committed more time sheet violations than all the past interns combined, and that she “simply cannot see why he doesn’t get it.”

That's someone trying to see how much he can get away with.