The phrase "I'm addicted to you" is an expression of strong affection, infatuation, or emotional dependency towards someone. It suggests that the person saying it feels a deep and intense attraction or connection to the other person, to the point where they feel like they cannot live without them or they constantly desire their presence.
In a figurative sense, it implies that the person has become emotionally attached to the other person in a way that resembles an addiction to a substance. This is not to be taken literally as a clinical addiction, but rather as a way to convey the strength and intensity of their feelings.
Saying "I'm addicted to you" often expresses a desire to be with the other person all the time, a need for their attention and affection, and a sense of longing or emptiness when they are apart. It is a powerful way to communicate the depth of one's feelings and the importance of the other person in their life.