Decided to try it out for myself. It turns out that Crossfire doesn't help Cliffs of Dover at all.
Testing with the Black Death track I couldn't notice any different in FPS.
Disappointing, especially since Far Cry performance doubles with Crossfire! FPS went from average 30 to a constant 60 FPS. Guess it just works better with DirectX 11 games.
Anyone else having similar experience?