Possible Clues:

• Nursery rhyme guy whose last name inspired the answers to starred clues?
• Fat avoider of rhyme
• Sailor with fish for man in nursery rhyme
• 'I will follow a no-fat diet,' said ___
• It's a little fishy that he would never be getting fat
• The man's a fool - he stuck to a fat-free diet
• It was a little fishy the way John may have been inclined to get 29 down
• He always cleared his plate, but never got fat
• He ate no fat
• Weight-lifter takes fish, being fussy about meat