No, 'A Dance With Dragons' hasn't been completed but it looks like GRRM is rolling up his sleeves in preparation to have it finished by the summer. Head on over Here for George's first update, on the series, since February last year. It's looking hopeful that we could see 'A Dance With Dragons' this year but as George says, "I am not swearing any blood oaths here..." Fingers crossed eh?
What we do get though is a new sample chapter to keep us ticking over for a bit longer. It's a 'Jon Snow' chapter and it makes for good reading.