By and large I think you have dealt satisfactorily with the concerns of the reviewers (I do have a question about one point in your response - see attached .pdf file), but I have a few additional concerns based on my reading of the revised manuscript. These are identified in sticky notes on the attached .pdf file.
I would ask you to respond to these (which should not take you very long) and then submit a final manuscript, which should be acceptable.

As we have discussed, I am happy to recommend that your paper be accepted for publication in The Cryosphere, subject to one technical correction to the revised manuscript. This refers to the point you make about the sign of the SW to NE precipitation gradient across Greenland which the revised manuscript refers to as positive, when it should be described as negative. Please revise your most recent manuscript accordingly and upload a copy of the final revised manuscript, which you can then consider to have been accepted for publication.
Best wishes, and thank you for submitting this paper to The Cryosphere.
Martin Sharp