Monstrosity has detective angry (7)
I believe the answer is:
eyesore
'monstrosity' is the definition.
(I've seen this before)
'detective angry' is the wordplay.
'detective' becomes 'eye' (as in a private eye).
'angry' becomes 'sore' (similar in meaning).
'eye'+'sore'='EYESORE'
'has' acts as a link.
(Other definitions for eyesore that I've seen before include "horror" , "Ugly and offensive sight" , "Hideous building" , "offensive to viewers" , "Ugly sight, not nice to see" .)