Suggest having beer with member (6)
I believe the answer is:
allege
'suggest' is the definition.
'beer with member' is the wordplay.
'beer' becomes 'ale' (type of beer).
'with' is an insertion indicator.
'member' becomes 'leg' (member can mean a limb).
'ale' enclosing 'leg' is 'ALLEGE'.
'having' is the link.
(Other definitions for allege that I've seen before include "Declare or accuse without proof" , "Aver - maintain" , "Claim (a person is guilty)" , "Swear" , "Accuse without established proof" .)