It's definitely not 'pass numbers list'.
I don't think there's a specific term for the scenario you describe - at least, not where I am. Numbers just aren't handed out for a missed appointment.
In my country if you arrive late and miss an appointment by 10-15 minutes, then the receptionist usually will say, "I'll try and fit you in next". If I arrive later than that, then they reschedule me for the next time available and give me the option of going on a 'waiting or cancellation' list. If someone else cancels, I get their spot.
If I've completely forgot the appointment that day and I phone to reschedule, they'll usually book me in for the next available appointment AND they'll ask me if I want to go on a cancellation/waiting list. That is, if someone cancels an earlier appointment, I can take theirs.