A Pokémon with the Run Away Ability is guaranteed to be able to escape from a battle against a Wild Pokémon, ignoring the normal factors that could cause an escape attempt to fail.
Run Away doesn't have an effect in the Overworld.
Pokémon With Run Away
Related ThreadsThey all are breaking free and running away - last post by @ Aug 19, 2016
These pokemon should do track because they run away fast - last post by @ Sep 18, 2016
Run away method - last post by @ May 1, 2015
General Anime Discussion XXXVII: Just keep running away? - last post by @ Dec 20, 2011
Run Away - last post by @ Jul 20, 2010