The most common and most likely answer to this crossword clue is the 9 letter word NEGLIGENT
I've seen this crossword clue in Independent
N
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More clues leading to the result NEGLIGENT
- I left information around man without due diligence
- Shortened lingerie, not wanting zip that's slack
- Remiss not to initially put on short nightdress
- Careless man from Newcastle holds informal party
- Careless with information about Nigel distributed over time
- Sloppy bedroom habit, not climaxing, not releasing ring
- Abandoning its responsibilities, National Trust is retailing skimpy night attire
- Careless fellow following German during line dancing
- Has a fresh egg in Lent, regardless
- Slack peignoir
Buddy explains!

The straight part
We know that "Abandoning its responsibilities" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case abandoning its responsibilities = negligent.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 NEGLIGENT mean?
NEGLIGENT adjective- Careless, without appropriate or sufficient attention.
- Culpable due to negligence.