Inform then woo a sporting arena (5,5)
I believe the answer is:
grass court
'a sporting arena' is the definition.
The definition suggests a singular noun which matches the answer.
'inform then woo' is the wordplay.
'inform' becomes 'grass'.
'then' means one lot of letters go next to another.
'woo' becomes 'court' (synonyms).
'grass'+'court'='GRASS COURT'
Can you help me to learn more?
(Other definitions for grass court that I've seen before include "feature of Wimbledon?" , "Such as used at Wimbledon" , "what one found at Wimbledon" .)