Damage terribly posh eatery (4,4)
I believe the answer is:
chip shop
'eatery' is the definition.
I know nothing about this answer so I can't judge whether this works.
'damage terribly posh' is the wordplay.
'damage' becomes 'chip' (I've seen this before).
'terribly' is an anagram indicator.
'posh' with letters rearranged gives 'shop'.
'chip'+'shop'='CHIP SHOP'
Can you help me to learn more?
(Other definitions for chip shop that I've seen before include "fast food outlet" , "fast food restaurant" .)