The most common and most likely answer to this crossword clue is the 9 letter word INCURIOUS
I've seen this crossword clue in Financial Times
I
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More clues leading to the result INCURIOUS
- Bring debts upon oneself interest-free?
- Lacking interest, fall liable to debts?
- Gain debts? Not interested
- Not interested in what unpaid creditor will do?
- Take on debts having no interest?
- Acquire debts interest-free
- Run up with documents from debtors? Not interested
- Get into debt, asking no questions
- Get into debts without interest
- Run up debts? Not bothered
Buddy explains!

The straight part
We know that "having no interest" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case having no interest = incurious.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.
What does INCURIOUS mean?
INCURIOUS adjective- Lacking interest or curiosity; uninterested.
- Apathetic or indifferent.