Eluding drunk to have a drink? (7)
I believe the answer is:
indulge
'a drink?' is the definition.
(thesaurus)
'eluding drunk' is the wordplay.
'drunk' indicates anagramming the letters.
'eluding' with letters rearranged gives 'INDULGE'.
'to have' is the link.
(Other definitions for indulge that I've seen before include "Humour (someone)" , "Drink too much" , "Pamper - eluding (anag)" , "Coddle while eluding." , "Gratify a wish" .)