Somewhat surprised that there hasn't been even a single guess yet. At first and second glance it seemed unfamiliar to me as well, so I suspected it's from either TNG or DS9. I know a select number of episodes from both, especially those with a rather special guest performer. After much head scratching and contemplation, I believe I have the right answer. It's TNG's Sarek, with O'Brien about to get into some unpleasantries with some other crew members over, uh, accommodations at Ten Forward.