He's not going anywhere, IMO.
But he is one of those guys that are becoming a little more rare in the NFL nowadays that can just keep on getting better and better even if they weren't able to have success right away. Sort of like a Rich Gannon, someone like that. Usually nowadays if a guy is good enough, you're going to see it right away, within a couple of years.
I think a Ryan Fitzpatrick is definitely a role model for a Chad Henne. But the bottom line is that the thing that allows Fitzpatrick to keep growing as a quarterback is how smart he is. As long years of repetition improve his throwing skills, body memory, ability to handle pressure, all those things that are almost kind of hard-wired, his brain helps him keep raising the bar without plateauing.
When I did a radio interview for a local Buffalo ESPN radio station, they were asking what they should do in the Draft, should they take a quarterback, and I told them if Cam Newton is there then you take him just because he's that special of a player, but otherwise no I don't believe you give up on Ryan Fitzpatrick, who has gotten better every year, in order to go for a Blaine Gabbert or someone like that. I had to throw them the caveat that I'm a huge "upgrade the quarterback" guy and I've been arguing for teams to take quarterbacks, just that aside from Newton, the Bills aren't one of those teams I'd tell to do that because I like Fitzpatrick that much. If you'd have offered Fitzpatrick to Miami during the off season for a 2nd round pick, I'd have done that, and said so here and elsewhere.