At the time, Elon Musk said that this one wouldn't be re-used, but studied. In my opinion, that was the right answer. Look it over carefully and make sure that there's nothing latent in that booster that would make a second flight much riskier than it should be. Use it as an engineering test vehicle. There's virtually no down side: if they find something that requires an engineering change to the booster, they'll improve its reliability and make it better. If they take it apart and find nothing questionable at all, at the worst case, they've just written off a vehicle that could have not made the landing.
Ars Technica posts this picture - along with several more - of the booster in SpaceX's hanger, noting that the booster has a "sooty" look but is apparently undamaged. Aside from soot, produced by the kerosene fuel used in the rocket's engines, the Falcon 9 booster appears to be fine.
That was the assessment of SpaceX founder Elon Musk, who tweeted, "No damage found, ready to fire again," on New Year's Eve. Musk has said the flown booster will undergo "static fire" testing on the launch pad, in which the rocket is restrained while its engines are fired. After testing, the rocket is expected to become a valued artifact, although Musk has not said where its final resting place will be.They're going to have to start naming those rockets, like the shuttles were, or most every other ship. She looks a bit like a used spaceship now. That's only going to get worse with more reuse and more confusing if they have several in the process of being refurbished for reuse. If it is just soot, essentially hydrocarbon ash, a good car wash could be all she needs. A very big car wash.
During a conference call with reporters after the launch and successful recovery of the Falcon 9 rocket on December 21, Musk said he expects the company will attempt to refly a Falcon 9 rocket sometime in 2016.