Moving leg neatly and gracefully (9)
I believe the answer is:
elegantly
'gracefully' is the definition.
(I've seen this before)
'moving leg neatly' is the wordplay.
'moving' indicates anagramming the letters.
'leg'+'neatly'='legneatly'
'legneatly' anagrammed gives 'ELEGANTLY'.
'and' acts as a link.
(Other definitions for elegantly that I've seen before include "in a debonair way" , "Gracefully, stylishly" , "In a graceful and stylish manner" , "Ingeniously" , "Gracefully and tastefully" .)