Possible Clues:

• Bird beset by problem in front of breast
• Bone in back? I'm not sure
• All wanting to consume bird's breast
• Munster extraordinarily close to the heart
• Rib cage part
• Revised Sun term for chest part
• Something in chest keeps mad run in check
• Something in chest to check when entertaining wild run
• Amount of money, including flyer, that’s found in chest
• Bone is hard? I'm pondering