Possible Clues:

• Fatty regularly said 'I am a model'
• Fat-storing (tissue)
• 'Fatty tissue?' said Poe, confused
• Fatty, a girl has put on a front
• Relating to fatty tissue
• Fatty requires active duty shortly, I suggest
• Notice international model showing some fat
• Fatty takes a brief swim, too large to exercise finally
• Fatty apes do start to ignore bananas
• Fatty acid must be emptied out, I submit