Red-nosed drunk is given support (8)
I believe the answer is:
endorsed
'given support' is the definition.
'red-nosed drunk' is the wordplay.
'drunk' indicates an anagram.
'red'+'nosed'='rednosed'
'rednosed' is an anagram of 'ENDORSED'.
'is' acts as a link.
(Other definitions for endorsed that I've seen before include "Wrote one's signature on the back" , "Confirmed a statement or signed back of cheque" , "Seconded" , "Approved and backed" , "Signed one's name to certify" .)