She's slightly famous for her figure (5)
I believe the answer is:
sylph
'figure' is the definition.
The answer and definition can be both people as well as being singular nouns.
Perhaps you can see a link between them that I can't see?
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for sylph that I've seen before include "Girl with slender figure" , "Slender, graceful female" , "Slender and graceful young woman" , "Imaginary spirit of the air" , "Slim female" .)