Lyric discussion by Franol 

Cover art for Wolves Without Teeth lyrics by Of Monsters And Men

After a deep reaserch I think this song is about a very close but toxic relationship between two lovers. They are both willing to give themselves completely to each other as you can see, but the lyrics have also a bit of violence in it, so is not a "healthy" relationship. That's why they are running from wolves WITHOUT TEETH. They are distroing each other by staying in this toxic relationship they want to keep so badly.

My Interpretation