A man sits in two very different places and ends up facing himself in both. At the bar, he drinks a Romanov, sometimes three or four, and the drink seems to push him into honest self-examination. At the barber's, he has no choice at all: his neck is twisted left and right, up and down, then set firmly upright, and he is made to look at himself again.
The speaker's tone is dry and self-mocking. He doesn't dramatize his dissatisfaction. He simply says "Not a pretty sight," and the repeated line, with its added "either!" the second time, adds a wry, almost comic shrug. The word "forced" appears in both stanzas, which suggests he would rather avoid these moments. The poem doesn't say exactly what he dislikes, so the "ugliness" could be physical, moral, or both. The mood is light on the surface but quietly rueful underneath, the feeling of someone who can't dodge his own reflection, whether through drink or a barber's mirror.