The Press exists to invigilate abuses of power, wherever they are found.
From the thisismoney.co.uk
You could go to see a Relate counsellor, on your own, and ask if she or he would invigilate.
From the independent.co.uk
Refusing to invigilate any public examination or SATS.
From the thisismoney.co.uk
The guards assigned to invigilate are armed.
From the guardian.co.uk
The Lifeguards train through practical and theoretical lessons to meet standards set by the RLSS so they can help invigilate the swimming pool.
From the en.wikipedia.org
Schools ask or require students to stay at home during and after exams because of the disruption the timetable suffers and the extra demands placed on teachers to invigilate.
From the telegraph.co.uk
More examples
Watch over (students taking an exam, to prevent cheating)
To oversee a test or exam
(invigilation) The act of watching or invigilating