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This is a fairly understated scene, but I think his quivering lip is really charming.
I recommend the whole film, especially for anyone who is interested in Joy Division -- it's an excellent biopic of the band's lead singer Ian Curtis. The black and white cinematography is stunning.
I know the film features more intense crying scenes from Riley -- as this GIF attests:
And also -- I'm fairly sure -- from Samantha Morton who plays his wife.