Looper (2012)

In 2074, when the mob wants to get rid of someone, the target is sent into the past, where a hired gun awaits - someone like Joe - who one day learns the mob wants to 'close the loop' by sending back Joe's future self for assassination.
 
Director:   Rian Johnson
Writer:    Rian Johnson
Stars:   Joseph Gordon-Levitt, Bruce Willis, Emily Blunt