Private dance, silent, moving (11)
I believe the answer is:
clandestine
'private' is the definition.
(I've seen this before)
'dance silent moving' is the wordplay.
'moving' indicates anagramming the letters.
'dance'+'silent'='dancesilent'
'dancesilent' with letters rearranged gives 'CLANDESTINE'.
(Other definitions for clandestine that I've seen before include "Surreptitious" , "Send a client (anag) - covert" , "Concealed" , "Undercover" , "Done secretively" .)