The most common and most likely answer to this crossword clue is the 8 letter word PETULANT
I've seen this crossword clue in Independent
P
E
T
U
L
A
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T
More clues leading to the result PETULANT
- Irritable bowels of Fräulein nursed by favourite soldier?
- Piano and stringed instrument returned by worker complaining
- Native American back in factory showing peevish impatience
- Showing peevish irritation when a native American turned up in Bury
- Short blow holding instrument upside down
- Girl not without heart, but peevishly impatient
- English trade union in factory with bad attitude
- Fuel regularly pinched by favourite worker getting irritable
- Reversing Aussie utility vehicle into factory, becomes irritable
- Querulous and demanding talent up for modelling
Buddy explains!

The straight part
We know that "showing peevish impatience" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case showing peevish impatience = petulant.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 PETULANT mean?
PETULANT adjective- Childishly irritable
- Forward; pert; insolent; wanton.