"Uneven, unstable" - May's term in charge (10)
I believe the answer is:
asymmetric
'uneven' is the definition.
(thesaurus)
'unstable may's term in charge' is the wordplay.
'unstable' is an anagram indicator.
'in charge' becomes 'ic'.
'mays'+'term'='maysterm'
'maysterm' anagrammed gives 'asymmetr'.
'asymmetr'+'ic'='ASYMMETRIC'
(Other definitions for asymmetric that I've seen before include "Not regularly shaped" , "kind of bars frequented by gymnasts" , "Lopsided" , "women-only bars" , "Irregular" .)