Damage seen outside empty low-rise in NY district (6)
I believe the answer is:
harlem
'ny district' is the definition.
(Harlem is a district of New York)
'damage seen outside empty low-rise' is the wordplay.
'damage' becomes 'harm' (synonyms).
'seen outside' is an insertion indicator.
'empty low' becomes 'el' (this could be a standard abbreviation of which I'm unaware).
'rise' shows that the letters should be reversed in order.
'el' reversed gives 'le'.
'harm' placed around 'le' is 'HARLEM'.
'in' is the link.
Can you help me to learn more?
(Other definitions for harlem that I've seen before include "'District of Manhattan, noted for jazz clubs (6)'" , "Father (French)" , "some of the Big Apple" , "NY community" , "District of New York" .)