New Yorker bought cured meat item when reduced (9)

'new yorker' is the definition.
Both the answer and definition are singular nouns.
Maybe you can see a link between them that I don't see?

'bought cured meat item when reduced' is the wordplay.
'bought' becomes 'got' (I've seen this in another clue).
'cured meat' becomes 'ham' (I've seen this before).
'item' becomes 'it' (I've seen this in other clues).
'when reduced' becomes 'e' (I can't justify this - if you can you should believe this answer much more).
'got'+'ham'+'it'+'e'='GOTHAMITE'

Can you help me to learn more?