Any Lulu moves captivating American, surprisingly (9)
I believe the answer is:
unusually
'surprisingly' is the definition.
(I've seen this before)
'any lulu moves captivating american' is the wordplay.
'moves' indicates anagramming the letters.
'captivating' means one lot of letters goes inside another (I've seen this in other clues).
'american' becomes 'us'.
'any'+'lulu'='anylulu'
'anylulu' is an anagram of 'unually'.
'unually' going around 'us' is 'UNUSUALLY'.
(Other definitions for unusually that I've seen before include "surprisingly" , "Rarely" , "Remarkably, uncommonly" , "Oddly" , "Not in the ordinary way" .)