Possible Clues:

• It's herself, so it is, that's so thin
• Makeup artist's supply item
• Model to come out displaying fabric
• It uses awfully flimsy stuff
• Paper is Times's first edition
• Paper hankie
• Basic structural element of an animal or plant
• It's a very thin girl, so it is
• It's herself that's the skinny one!
• It's herself that's the thin one (6)