Ultimate Comics Hawkeye by Jonathan Hickman
Some interesting world-building changes going on here, but this doesn't have much about Hawkeye as a character -- a little bit about his recruitment by Fury, but if you're wondering how he's dealing with the murder of his girlfriend and children by a trusted colleague, keep wondering. I also don't love the character design, even aside from Hawkeye's hair changing from blond to brunet apparently at random.