Around 1:11:57 into Edge of Tomorrow, Pvt/Maj Cage is on the dropship preparing for another day of combat when a fellow soldier asks him "have you been drinking?"
Given the precarious situation that Cage was in: waking up, branded a deserter, has nothing except the clothes on his back, couldn't even use a telephone, having to roll under a jeep to have any chance of doing something without eyeballs glued on him, why would anyone think he had been drinking? If he had beer/whatever on his breath, where did it come from?
I do not recall anyone else being drunk or drinking: the base was preparing to deploy to the front. It would be reasonable to assume that in such a situation the well-being of soldiers would be paramount. Commanders would not want their soldiers hung over in battle, and even in Britain, I would expect alcohol to be tightly controlled.