The most common and most likely answer to this crossword clue is the 5 plus 3 plus 2 plus 5 letter word THROW OUT OF COURT
I've seen this crossword clue in The Guardian
T
H
R
O
W
O
U
T
O
F
C
O
U
R
T
Buddy explains!

The straight part
We know that "Refuse to try" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case refuse to try = throw out of court.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.