Raikkonen made a stellar start to Sunday's race, leaping from sixth to third early on and looking set to fight for best-of-the-rest honours behind the dominant Mercedes.
But his race began to unravel during the first safety car period. As the lapped runners made their way through the pack, Chilton ran into Raikkonen at Mirabeau, puncturing the Finn's tyre and forcing him to pit for a second time just moments after his first stop.
"For some reason he managed to run into my rear tyre and damage it," Raikkonen said afterwards. "He was unlapping himself, but I don't know how he expected me to go offline in the tight corner as he was going past me.
"I don't know what he was thinking, but obviously it destroyed my race and after that point the race was gone.
"I had a good position, good speed, but again got nothing out of it. But it wasn't really our fault."
Thereafter Raikkonen climbed back into the points only for a late-race collision with Kevin Magnussen to drop him back down the order. The clash also earned the Ferrari driver a post-race reprimand.
And Raikkonen added that, despite showing well in the early stages, he is still not satisifed with his team's car.
"Small things went wrong and it made a massive difference," said the Finn. "It was unfortunate things but I'm still unhappy with the car. The race was better than qualifying, but we still have a long way to go to be where we want to be."
Raikkonen's team-mate Fernando Alonso came home fourth and now sits 44 points and nine places above the Finn in the world championship standings.