Well, they were just having a quiet quaff, nothing to see here, but if you do want to see the photos of them enjoying drinks fully clothed in a New York hot spot, they're in the current edition of Heat Magazine.
As you may have heard, Chris and the missus kind of went their separate ways back in March - before going on holiday together, and dinner together, and doing various other things together. It's been over a month since their 'uncoupling' so it's high time he was spotted in some other female's presence. And why not Alexa Chung, she does have a thing for a native front man...
Apparently they were spotted in some 'speakeasy' behind a vintage clothes shop, which is frequented by not very covert clientele: "When I arrived at about 9.15pm, they were tucked away in in dark corner of the back room of the bar... Chris and Alexa seemed to know each other really well. They were both in a great mood, and even asked us to watch their bags when they went out for a cigarette."
And that's how you repay them... Blabbing to Heat. Proper order.