Flamboyant bachelor's game has no limits (7)
I believe the answer is:
baroque
'flamboyant' is the definition.
(thesaurus)
'bachelor's game has no limits' is the wordplay.
'bachelor' becomes 'BA' (the qualification: Bachelor of Arts).
'game' becomes 'croquet' (croquet is a kind of game).
'has no limits' indicates the central letters.
The middle of 'croquet' is 'roque'.
'ba'+'roque'='BAROQUE'
(Other definitions for baroque that I've seen before include "Bach's music style" , "Ornamental style" , "Ornate decorative style" , "Elaborate style" , "Extravagantly ornamented" .)