走着瞧 is a colloquial set phrase meaning 'just wait and see' – it's used to express confidence that a future outcome will prove the speaker right, often with a tone of challenge or warning. The literal meaning is 'walk and see', but the phrase is always used figuratively; it often appears at the end of a sentence or as a standalone remark. Do not confuse it with 边走边看 (to wait and see passively); 走着瞧 carries stronger conviction and is more confrontational.