Here is a feat for Pathfinder based on yesterdays quality for Shadowrun.
Run and Gun (Combat)
You move quickly and aim quicker.
Prerequisites: Dex 13, Dodge, Mobility.
Benefit: You get a +4 bonus to range attack rolls when you leave a threatened area to make a range attack roll. You must move at least 10 feet. Your ranged attack does not provoke an attack of opportunity if you move at least 10 feet.