Awfully neat word for 'destroy' (4,4)
I believe the answer is:
tear down
'destroy' is the definition.
(tearing down is a kind of destroying)
'awfully neat word' is the wordplay.
'awfully' is an anagram indicator.
'neat'+'word'='neatword'
'neatword' is an anagram of 'TEAR DOWN'.
'for' acts as a link.
(Other definitions for tear down that I've seen before include "Demolish" , "Level" , "trash" .)