It's been awhile since we've had anything firm, hard, or otherwise unyielding to pressure with regard to the second half of Broken Age, but Double Fine has offered an update a few days ago. They published said update on their Kickstarter page, and since there's an installment of the ongoing 2 Player documentary to go along with it, the post is backer-exclusive. Which means I can't really do much but tell you to go check it out, a suggestion I make under the safe assumption that a few of your dollars rest among the 3+ million the project racked up.
In the absence of a link, I can give you the Cliff Notes version, which is that Tim has finished writing the game, and the voice recording is nearing an end. There's a few other milestone factoids like that, but what they get vague about real quick is the release date you likely sought. In light of that I'm gonna go ahead and assume we won't get to play this until 2015, which is fine by me, because Remi has made short work of my free time lately.
Source: Broken Age Kickstarter