Times article probing unconventional leader, Greek leader (9)
I believe the answer is:
alexander
'greek leader' is the definition.
(Alexander the Great)
'times article probing unconventional leader' is the wordplay.
'times' becomes 'x' (multiplication sign).
'article' becomes 'an' (indefinite article).
'probing' is an insertion indicator (probe can mean to make a hole in).
'unconventional' is an anagram indicator.
'x'+'an'='xan'
'leader' is an anagram of 'aleder'.
'xan' put within 'aleder' is 'ALEXANDER'.
(Other definitions for alexander that I've seen before include "Healing process based on improving posture" , "noted for technique" , "King of Macedon, conqueror of Greece, Egypt and Persia, d. 323 BC" , "Fellow" , "Macedon's "great" king, d. 323 BC" .)