Possible Clues:

• Did exam problem, needing a healthy snack
• Type of tangerine
• Fruit depicted on Japanese pottery
• Fruit a necessity when suffering rejection
• A prerequisite when around fruit
• Thin-skinned seedless orange
• Fruit supplied by university graduate after tests
• An essential, like round fruit ...
• Loose-skinned tangerine
• Thin-skinned seedless type of mandarin orange