One digging a verse about Roman goddess (7)
I believe the answer is:
minerva
'roman goddess' is the definition.
(I've seen this before)
'one digging a verse about' is the wordplay.
'one digging' becomes 'miner' (a person who digs).
'a verse' becomes 'v'.
'about' becomes 'a' (abbreviation in Chambers).
'miner'+'v'+'a'='MINERVA'
(Other definitions for minerva that I've seen before include "Divine female" , "embodiment of wisdom" , "deity of wisdom" , "wise goddess" , "Roman goddess of learning" .)