The most common and most likely answer to this crossword clue is the 5 plus 6 letter word TIMES SQUARE
I've seen this crossword clue in Financial Times
T
I
M
E
S
S
Q
U
A
R
E
More clues leading to the result TIMES SQUARE
- New York landmark could be quite a mess — that’s about right!
- XXXX part of Manhattan
- Scene of iconic kiss– make that ‘xx’?
- New York location that’s busy by nine, perhaps
- Sign of a product with dinosaur as American tourist attraction
- Iraq must see settlement in Manhattan
- Marquee sits awkwardly somewhere in the Big Apple
Buddy explains!

The straight part
We know that "part of Manhattan" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case part of manhattan = times square.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.