The most common and most likely answer to this crossword clue is the 7 plus 3 letter word RUBBISH BIN
I've seen this crossword clue in Financial Times
R
U
B
B
I
S
H
B
I
N
Buddy explains!

The straight part
We know that "Refuse to go there" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case refuse to go there = rubbish bin.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.