Possible Clues:

• Some object to have me skinny inside
• After this or other might be anything at all
• 1969 Beatles song by George Harrison
• Badger 13, 15?
• Rod Stewart hit from 1972
• 1 by 15
• <--- One starting a career, perhaps
• It's not this that's exceptional
• Word that can precede the starts of 18-, 20-, 53- and 58-Across
• Indefinite article the writer inserted in revision of hit song