1. To capture and hold one's gaze or attention completely and for an extended period of time (on someone or something). The magician riveted our gaze on the mysterious box, as we waited with bated breath to see what would emerge. The film riveted my gaze from beginning to end.

2. To focus one's gaze or attention completely and continuously (on someone or something). I riveted my gaze on the television as the final seconds of the game ticked away. I don't think I could handle celebrity. Having thousands of people rivet their gaze on me every day sounds like a nightmare.