Go beyond ravine after second ancient city (7)
I believe the answer is:
surpass
'go beyond' is the definition.
(synonyms)
'ravine after second ancient city' is the wordplay.
'ravine' becomes 'pass' (pass can mean a ravine).
'after' says to put letters next to each other.
'second' becomes 's' (common abbreviation).
'ancient city' becomes 'ur' (ancient Sumerian city state).
's'+'ur'='sur'
'pass' after 'sur' is 'SURPASS'.
(Other definitions for surpass that I've seen before include "Be better than (own best)" , "Transcend" , "supply best" , "Be better than (another)" , "Excel" .)