Possible Clues:

• Compete in a no-blinking contest
• Look at for too long
• Take a long, hard look
• What's fixed in your eyes
• Unblinking gaze
• It might be glassy or icy
• "Stop and ___, I think I'm moving but I go nowhere"
• Look while in a trance
• [See notepad]
• React to a public scene, maybe