Drunk on lager, imbibing one in local (8)
I believe the answer is:
regional
'local' is the definition.
(thesaurus)
'drunk on lager imbibing one' is the wordplay.
'drunk' indicates anagramming the letters.
'imbibing' means one lot of letters goes inside another.
'one' becomes 'i' (Roman numeral).
'on'+'lager'='onlager'
'onlager' with letters rearranged gives 'regonal'.
'regonal' placed around 'i' is 'REGIONAL'.
'in' is the link.
(Other definitions for regional that I've seen before include "Relating to a specific area of the country" , "Relating to one area" , "From a geographical area" , "outside the capital" , "of the district" .)