The most common and most likely answer to this crossword clue is the 8 plus 6 letter word MARRIAGE BUREAU
I've seen this crossword clue in Independent
M
A
R
R
I
A
G
E
B
U
R
E
A
U
More clues leading to the result MARRIAGE BUREAU
Buddy explains!
The straight part
We know that "Where Phil Mitchell might have looked for trouble?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case where phil mitchell might have looked for trouble? = marriage bureau.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.