It is their longing that draws them towards each other, not romantically, sentimentally, or even erotically. The U.K.'s Guardian newspaper had an interesting debate as to whether Considine's directorial debut was "povery porn." While I think Natalie Haynes makes some points worth considering arguing that Tyrannosaur consitiutes a kind of "poverty porn," I side with Jason Solomons that it is not.
After the dust settles in the film, Joseph writes Hannah, who is in prison, a letter, part of which reads:
I prayed for ya the other day, it's not somethin' I do, but I figured I was talkin' to myself and saying a prayer. I don't even believe in all that shit, as you well know. I'd like to come and see you, there's things I want you to know. I know you asked me once why I was in the shop [the Goodwill shop where Olivia volunteered and where he saw her], but I never told ya. I didn't go in there lookin' for God. I wanted you. I just went in there because, apart from Sam [little boy who lived across the street] you're the only person who smiled when I'm around you and I wanted, I wanted you to soak into me and bring me up. I thought you were beautiful. I just wanted to look at you, that's all. I didn't want to know ya because I knew that if I got to know ya that you'd have your own shit, you wouldn't be perfect and I didn't want that feelin' ruined, but it's alrightThe film ends with Joseph visiting Olivia in prison, they hold hands and just look at each other.
The Leisure Society's "We Were Wasted," the last song in the film seems a great way to end.