The footage of the recovery operation shows considerable ice around where the aircraft is currently "parked".
According to the NTSB press statement at 4pm EST today: "the aircraft weights about 1,000,000 lbs in its current state" and that its right wing was wedged under the sea wall in mud. They are going to "move the aircraft to the left" and gradually lift it 1ft at a time to allow the water to drain. One engine is still attached (they did not state which one). FDR and CVR's not yet retrieved.
NY1, a local television news agency has pretty reasonable coverage
NY1 | 24 Hour Local News | Top Stories | Crews Are Close To Lifting Fallen Jet