The 13th Hour by Richard Doetsch

So this is described (on the jacket) as "a mesmerising thriller - told in reverse!". Stete Berry - a New York Times bestselling author, no less - said "brilliantly conceived, perfectly executed. Fresh, Exciting, bristling with originality."

On goodreads the author mantions that it's been described as a cross between The Bourne Identity and The Time Traveller's Wife.