Bombed by a deranged duke at central Greenwich (5)
I believe the answer is:
nuked
'bombed' is the definition.
(nuking is a kind of bombing)
'a deranged duke at central greenwich' is the wordplay.
'a deranged' is an anagram indicator.
'at' says to put letters next to each other (I've seen this in other clues).
'central' means to look at the middle letters.
The middle letter of 'greenwich' is 'n'.
'duke' anagrammed gives 'uked'.
'uked' after 'n' is 'NUKED'.
'by' is the link.
(Other definitions for nuked that I've seen before include "Used bombs" , "zapped into oblivion?" .)