Blurgh, I don't really think this guy fits Bourne. He's not got the acting chops.
What happened to this:
If that's still happening and Renner is just some other spy in the Bourne world, then that's fine.
What happened to this:
On October 11, 2010, Gilroy confirmed that Damon would not return, that there would be a whole new hero. Gilroy further explained,
"This is not a reboot, it's a whole new chapter. The easiest way to think of it is an expansion or a reveal. Jason Bourne will not be in this film, but he's very much alive. What happened in the first three films is the trigger for The Bourne Legacy, and everyone who got into them will be rewarded for paying attention. I'm building a legend and an environment and a wider conspiracy. We're going to show you the bigger picture, the bigger canvas... The world we're making enhances and advances and invites Jason Bourne's reappearance somewhere down the road."
If that's still happening and Renner is just some other spy in the Bourne world, then that's fine.