Run Away allows the Pokemon to run away from all wild Pokemon battles without fail. It is a abillity which some Pokemon recieve naturally. It has no effect on moves such as Mean Look.
Pokemon
010 Caterpie (Dream World)
013 Weedle (Dream World)
019 Rattata
020 Raticate
023 Oddish (Dream World)
048 Venonat (Dream World)
077 Ponyta
078 Rapidash
084 Doduo
085 Dodrio
133 Eevee
161 Sentret
162 Furret
190 Aipom
206 Dunsparce
209 Snubbull
261 Poochyena
265 Wurmple (Dream World)
290 Nincada (Dream World)
401 Kricketot (Dream World)
417 Pachirisu
427 Buneary
504 Patrat
506 Lillipup (Dream World)