Alluringly moody, wry leader getting ousted by Times (7)
I believe the answer is:
byronic
'alluringly moody' is the definition.
(moody in a way reminiscent of Lord Byron)
'wry leader getting ousted by times' is the wordplay.
'wry' becomes 'ironic' (synonyms).
'leader getting ousted' means to remove the first letter.
'by' says to put letters next to each other.
'times' becomes 'by' (both can mean 'multiplied by').
'ironic' with its initial letter taken away is 'ronic'.
'ronic' put after 'by' is 'BYRONIC'.
(Other definitions for byronic that I've seen before include "Highly romantic" , "Poet's" , "Dark, mysterious, moody" , "mad, bad, and dangerous to know?" , "Darkly romantic" .)