Georgia, say, brought up glove (4)
I believe the answer is:
gage
'glove' is the definition.
(thesaurus)
'georgia say brought up' is the wordplay.
'georgia' becomes 'ga'.
'say' becomes 'eg'.
'brought up' shows that the letters should be reversed in order (down clues only).
'eg' back-to-front is 'ge'.
'ga'+'ge'='GAGE'
(Other definitions for gage that I've seen before include "Pledge" , "Glove thrown down by knight as challenge" .)