Food and drink in the outskirts of Southwark (5)
I believe the answer is:
steak
'food' is the definition.
(steak is a kind of food)
'drink in the outskirts of southwark' is the wordplay.
'drink' becomes 'tea' (tea is a kind of drink).
'in the' is an insertion indicator.
'outskirts of' says to hollow out the word (remove centre letters).
'southwark' with its middle taken out is 'sk'.
'tea' inserted into 'sk' is 'STEAK'.
'and' acts as a link.
(Other definitions for steak that I've seen before include "High quality beef" , "Getting cut" , "Meat (rare, medium or well done?)" , "Takes (anag.)" , "Fleshy piece of meat" .)