He's not gonna go after Fagin. That comes later. If he's smart he'll've left by now anyway.

In the absence of old men to punch though, Eames is gonna go and get some hot beverages. He's gone... Probably longer than that should take. But you know, if you have a hunch some of the staff keep the good tea on hand instead of that Typhoo bullshit, you've gotta investigate right? Talk them up so you can get a couple of mugs of good tea. (And you know, maybe invite someone out for a drink. Who's to say or judge?)

Eventually he makes his way back with two mugs of tea, one he sets down for Nancy with a little packet of biscuits too. How nice, right?