Possible Clues:

• Ph.D. candidate, e.g
• PhD candidate, for one
• Relating to studies beyond a bachelor's degree, in short
• Student getting good in pub game, operation looking up
• Job Cockney had getting hold of the last King's College student
• Ace regiment's up in school, working to a higher degree
• Student from St Petersburg once with piece of wood for his ruler?
• Mature student good for English in two advertisements