The most common and most likely answer to this crossword clue is the 3 plus 1 plus 5 plus 5 letter word LED A MERRY DANCE
I've seen this crossword clue in Financial Times
L
E
D
A
M
E
R
R
Y
D
A
N
C
E
Buddy explains!
The straight part
We know that "given inordinate trouble" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case given inordinate trouble = led a merry dance.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.