Lousy tune played in a flimsy way (9)
I believe the answer is:
tenuously
'in a flimsy way' is the definition.
(I know this)
'lousy tune played' is the wordplay.
'played' is an anagram indicator (letters playing around).
'lousy'+'tune'='lousytune'
'lousytune' with letters rearranged gives 'TENUOUSLY'.
(Other definitions for tenuously that I've seen before include "in a delicate manner" , "Vaguely" , "In a weak manner" .)