Top man reducing the rise in crime (4)
I believe the answer is:
emir
'top man' is the definition.
(I've seen this before)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for emir that I've seen before include "Title of various rulers; I'm ER (anag.)" , "Title of various Muslim rulers" , "Arab leader" , "Middle-Eastern ruler" , "Islamic title" .)