Most robots today are naked, and nobody seems to mind! We argue they should. Robot attire is not cosmetic: clothing systematically shapes social cognition, cueing role expectations, warmth and competence inferences, touch norms, and trust. We introduce the Robot Fashion Psychology Model (RFPM), a mid-level theory linking what robots wear to how people interact with them, moderated by morphology and context. Grounded in fashion-led research-through-design that triangulates in-the-wild exemplars, a capsule collection spanning humanoids to drones, and reflexive critique - we translate RFPM into morphology aware garment guidelines and ethical guardrails against "trust-washing" and capability deception. We then ask: What happens when robots dress for each other? When fashion becomes visible only to machines? Robot wardrobes are coming. With them come new forms of designed influence. We offer foundations for designing them with intention rather than improvisation, while norms are still forming.