The private jet will be removed with the use of a crane, so the exact time at which normal service will be resumed is not known, with some sources claiming that the airport will be closed until after 6 pm and others indicating that it will should reopen by 5 pm.
Looks like both of those deadlines have slipped, no sign of any arrivals or departures at ALC yet.
Using a crane sounds a bit extreme, given that the aircraft appears to be on all three wheels - maybe Joe Patroni wasn't available.