Agree to a current grant? (6)
I believe the answer is:
accede
'agree to' is the definition.
(thesaurus)
'a current grant?' is the wordplay.
'a current' becomes 'ac' (alternating current).
'grant?' becomes 'cede' ('cede' can be a synonym of 'grant').
'ac'+'cede'='ACCEDE'
(Other definitions for accede that I've seen before include "Allow, acquiesce" , "Say yes to request" , "Agree to proposal or take office" , "Succeed to or allow" , "'Take office, as king say (6)'" .)