Dream about hair on lips is sometimes the womb and the feminine aspects of yourself. You are trying to discover your own place in the world. You are receiving guidance from a higher source. This dream is about some overt emotional issue or need. Perhaps you are trying to escape from a situation.
Hair on lips dream is a sign for caution. You need to be extra cautious about how your approach your goals. There is something you are trying to hide. Your dream is a message for your competitive spirit and how you tend to measure yourself against others. You are putting an issue or situation to rest.
If you dreamt about hair on lips:
Perhaps they did not realize when they asked you out exactly what you were like, but you certainly intend to let them know. At least they can then decide whether this is the kind of relationship they have been looking for, or whether someone a little more subdued would be better.