"What it was going to be, we were trying to complicate the relationship between Cap and his S.H.I.E.L.D agent friends. If Hawkeye got a call from S.H.I.E.L.D saying Captain America is a fugitive, would he listen to that call or not listen to that call? That sequence actually was heartbreaking for us to cut it. I think it ultimately might have been a conflict with Renner’s schedule. But there was a great sequence where Hawkeye was chasing Cap through Washington D.C. there was an awesome sequence where they confronted each other in a ravine on the outskirts of D.C. and Hawkeye was shooting a series of arrows closing in on Cap, Cap closing in on him. And then Cap took him down and he realized for the first time that Hawkeye was trying to trick S.H.I.E.L.D, where he whispered something into Cap’s ear that Cap had a tracker on his suit and to punch Hawkeye to make it look real, because there was a Quinjet hovering above where they were watching the feedback back at S.H.I.E.L.D. So it was a cool sequence."
They should have kept this! Because as great as the movie was, the fact that Hawkeye was never even mentioned didn’t make any sense! This would have been brilliant! And if they couldn’t have filmed it because of Jeremy Renner’s schedule, they should have just had a scene in which Natasha was on the phone and he was telling her about the tracer in Steve’s costume and then Natasha could have rolled her eyes and sarcastically thanked him cause of course she didn’t know about the tracer. And then they get into a fight in which she curses at him in Russian and hangs up the phone. At Steve’s questioning look, she brightly says that Clint says hi.