The aircraft has still not been lifted. It's damn cold here! There seem to be complications caused by ice, tide and current at this spot where the plane is tethered at a pier at the lower tip of Manhattan in what is known as Battery Park City.
It has been as low as 13°F today in Central Park. I'm sure it was lower there and the chill factor exposed to wind from every direction would be around 0°F.
I gather that getting the entire aircraft body in a position so the submerged starboard wing (the one with the engine still attached) is clear of the embankment, and keeping it clear while the plane is being slowly hoisted (and drained) in these conditions, is causing the delays in raising it.
There is the human fatigue factor (that I'm sure all PPRuNer's) will quickly acknowledge. The salvage boat/crane and the ancillary support crews have been on the job for over 12 hours. I doubt the metal will suffer from another night in the freezer.