The most common and most likely answer to this crossword clue is the 2 plus 2 plus 4 letter word UP IN ARMS
I've seen this crossword clue in Independent
U
P
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N
A
R
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S
More clues leading to the result UP IN ARMS
- Outraged at university, current members
- Boiling uniform with fastening sleeves
- Rebellious at university, elected members
- Indignant child may be raised here?
- Like protesters, well versed on weaponry?
- Protesting members entering America
- Indignant, carrying more weapons?
- Italian renounced fussy puritanism, being hot under the collar
- ‘Happy, Sir?’
- Outraged by posh nail guns?
Buddy explains!

The straight part
We know that "Outraged" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case outraged = up in arms.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.