The most common and most likely answer to this crossword clue is the 7 letter word DETROIT
D
E
T
R
O
I
T
More clues leading to the result DETROIT
- City adventure, ignoring odds — love it!
- Tried to, working in a US city
- Vacuous éclat, French right taking on industrial city
- Nancy’s right to tour outskirts of elegant US city
- Tried to supply US industrial centre
- US city in Delaware, hurry around one
- Half-dead left-winger tours one Michigan city
- Big city detective given time to go round Éire
- Detective briefly restricts terrible riot in US city
- Bumbling tired to US city
Buddy explains!

The straight part
We know that "Big city" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case big city = detroit.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.