Looks like the new AiC album has been finished (according to Jerry Cantrell), although no release date has been given yet. The title of the album also hasn't been released yet, but there's a new single coming up on 18th december (Hollow? I'm not sure, you have to follow them on instagram to get snippets of the lyrics and I don't have instagram).
Stoked about this, given the quality of Black Gives Way to Blue (took me about 2 years of listening to the album regularly before I finally became bored with it, now it's a good time to spin it again) my expectations are very high. It's awesome when it's 2012 and you have a new Soundgarden album laying on your desk, talking about an upcoming Alice in Chains album... It is 2012 and not 1992, right?