Holy man not at home with drink (5)
I believe the answer is:
stout
'drink' is the definition.
(type of beer)
'holy man not at home' is the wordplay.
'holy man' becomes 'st' (abbreviation for saint).
'not at home' becomes 'out' (out can mean away from home).
'st'+'out'='STOUT'
'with' acts as a link.
(Other definitions for stout that I've seen before include "drinks?" , "Strong; drink" , "Robust; drink" , "Portly or stalwart" , "Overweight; porter" .)