The most common and most likely answer to this crossword clue is the 7 letter word IMPIOUS
I've seen this crossword clue in Independent
I
M
P
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O
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More clues leading to the result IMPIOUS
- Wicked little devil with evidence of debts
- Godless little devil with evidence of debts
- Unholy pope identifies himself, clutching ring
- Like Emperor dismissing the Queen? That’s irreverent
- Wicked Zulu warriors going over house contents?
- Disrespectful mischief-maker promises to settle scores
- Devil with evidence of debts showing lack of respect
- Rascal with debts spurning religion
- Irreverent devil’s in debt? On the contrary
- Blaspheming French or almost wicked cases
Buddy explains!

The straight part
We know that "irreverent" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case irreverent = impious.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 IMPIOUS mean?
IMPIOUS adjective- Not pious.
- Lacking reverence or respect, especially towards God or a god.