This was Mayo's fourth time in six years to battle and lose in the final quest for All-Ireland honours.
The teams drew the 2015 All-Ireland semi-final and the 2016 final, with Dublin winning both replays.
"And yet, in the end, what it comes down to is that we must accept that Dublin are one of the greatest teams to play the game".
"This was a game there for the taking".
Rochford added that he could not be more proud of this group of Mayo palyers.
Eye on the ball: Andy Moran slots over a point for Mayo.
Dublin changed things up at the break with both Diarmuid Connolly and Kevin McManamon entering the fray during the recess. Jason Doherty was through on the Dublin 'keeper who produced a superb save, while Clarke got his leg to a ball to deny Paul Mannion a certain goal.
Leading Lee: Lee Keegan celebrates scoring his goal.
Then, just when we looked set for another replay between this pair was on the cards, Dean Rock did this...
They have the same hunger as Dublin have to win.
"To win, however, would mean having to take down one of the best teams that the game has ever seen, the best of the modern era".
Mayo lost nothing in defeat, losing by the same margin as previous year in the replayed final, but they left Croke Park with the feeling that they could have had an extra passenger home with them. Sport is cruel and the 2018 Championship won't be long coming around.
Speeding traffic is a prime concern in many communities and motorists are urged to think about their speed and how it might affect others as they pass through towns and villages along the way.
The match ended with Dublin 2-17 and Tyrone on 0-11.
Wing-back Colm Boyle will make his 90th Mayo appearance with Aidan O'Shea named at centre-forward and his brother Seamus in midfield.