The most common and most likely answer to this crossword clue is the 6 letter word ASHCAN
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Buddy explains!
The straight part
We know that "dustbin in New York" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dustbin in new york = ashcan.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does ASHCAN mean?
ASHCAN noun- A container for ashes, used in times past for accumulating ashes generated from wood and coal fires, for eventual disposal elsewhere. A dustbin.
- A kind of large firecracker.
- Of or pertaining to the Ashcan School of American art.
- Describing a comic book originally published solely to retain ownership of a trademark, not intended for general release; later used for promotional comic books intended for limited release to the public.