Possible Clues:

• Church leaders greet rare review that's a fair bit touchy
• Pecking order
• Brief success at archery confusing top people in organisation
• Standing order's established in this system
• Leaders in church arranged her chair before closing of university
• Top people in an organisation
• Superior-sounding man is for priestly government
• System arranged in graded ranks
• People arranged in graded order
• System with grades of authority ranking one above another