Beginning to gossip with a slur -- our drunk's talkative (9)
I believe the answer is:
garrulous
'talkative' is the definition.
(synonyms)
'beginning to gossip with a slur our drunk's' is the wordplay.
'beginning to' suggests taking the first letters.
'with' is a charade indicator (letters next to each other).
'drunk's' is an anagram indicator (I've seen 'drunk' mean this).
The initial letter of 'gossip' is 'g'.
'slur'+'our'='slurour'
'slurour' is an anagram of 'rrulous'.
'g'+'a'+'rrulous'='GARRULOUS'
(Other definitions for garrulous that I've seen before include "Chatty" , "Over-talkative" , "Loquacious and voluble" , "Verbose" , "Excessively talkative" .)