The most common and most likely answer to this crossword clue is the 9 letter word TAXIDERMY
I've seen this crossword clue in The Guardian
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More clues leading to the result TAXIDERMY
- Work with skin X-ray timed badly
- Eat dry mix prepared for stuffing
- Team in trade adapted my way of stuffing goose etc
- Time to prepare ready-mix stuffing
- Burden I’d taken up about my work in preservation
- The lead variety of ready-mix stuffing
- Revised dietary mix omitting one type of stuffing
- Cab turned colour — setter’s getting stuffed
- Stuffing things in cab, wine’s overturned; Mary’s gutted
- Stuffing Tamil leader's ready-mix preparation
Buddy explains!

The straight part
We know that "getting stuffed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case getting stuffed = taxidermy.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 TAXIDERMY mean?
TAXIDERMY noun- The art of stuffing and mounting the skins of dead animals for exhibition in a lifelike state.
- To stuff and mount the skin of a dead animal.