What's the noun for proctorship? Here's the word you're looking for.
proctor
(US) A person who supervisesstudents as they take an examination, in the United States at the college/university level; often the department secretary, or a fellow/graduate student.
“The courses consist of personalized one-on-one proctorships, fundamental and advanced preceptorships, and national symposia.”
“Over the last year, Boston Scientific trained more than 25,000 health care providers worldwide through local and regional programs, seminars, preceptorships and proctorships.”