To see a head in your dream, signifies wisdom, intellect, understanding and rationality. It may also represent your accomplishments, self-image, and perception of the world. The dream may also be metaphor to indicate that you are "ahead" in some situation or that you need to get ahead. To dream that someone is trying to rip your head off, suggests that you are not see a situation or problem clearly. Perhaps you are refusing to see the truth. You have to confront the situation or the person despite the pain and discomfort you might feel in doing so.