Some rapid advancement for a girl (3)
I believe the answer is:
ida
'a girl' is the definition.
(I know that Ida is a female given name)
'some rapid advancement for' is the wordplay.
'some' says the answer is hidden in the clue (some parts of the word are used).
'IDA' is hidden in the letters of 'rapid advancement for'.
(Other definitions for ida that I've seen before include "lady" , "musical princess" , "Princess __ (G&S comic opera)" , "noted princess" , "Poetic princess" .)