Florida tune, moving, graceful (6)
I believe the answer is:
fluent
'graceful' is the definition.
(similar in meaning)
'florida tune moving' is the wordplay.
'florida' becomes 'fl' (abbreviation for Florida).
'moving' indicates anagramming the letters (letters are moved around).
'tune' anagrammed gives 'uent'.
'fl'+'uent'='FLUENT'
(Other definitions for fluent that I've seen before include "Easy, rapid (speech)" , "Able to speak smoothly and readily" , "Easily flowing" , "(Highly proficient) in a foreign language" , "Easily able to speak and write" .)