When you dream that you are running from someone, then it shows how you are trying to escape a certain situation or person. If you managed to run away from whatever you were running from, then you will be able to escape the things you dont like. If you tried to run away, but couldnt do so, then you will suffer from your enemies. If you try to run away, but cannot move your legs, you feel trapped in some situation or relationships and have no idea how to escape it.
Read more about dreaming of Running in other dream meanings interpretations.