Honeyed wine gives me notice! (4)
I believe the answer is:
mead
'honeyed wine' is the definition.
'me notice' is the wordplay.
'notice' becomes 'ad' (both can mean an advertisement).
'me'+'ad'='MEAD'
'gives' is the link.
(Other definitions for mead that I've seen before include "Alcoholic drink of fermented honey and water of old" , "Alcoholic drink made with honey" , "Alcohol" , "Honeyed drink; a lea" , "Cooked joint" .)