The most common and most likely answer to this crossword clue is the 8 letter word FLAGRANT
I've seen this crossword clue in The Daily Telegraph
F
L
A
G
R
A
N
T
More clues leading to the result FLAGRANT
- Indicate tirade as outrageous
- Weary partner for rave is glaring
- Disgraceful family doyenne in residence
- After signal, shout ‘open‘
- Elderly relative housed in apartment that’s gross
- Outrageous to draw attention to empty speechifying
- Notorious harangue with signal first
- Glaring, draw attention to storm
- Senior relative in apartment, glaring
- Obvious harangue in support of female prisoner
Buddy explains!

The straight part
We know that "Outrageous" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case outrageous = flagrant.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 FLAGRANT mean?
FLAGRANT adjective- Obvious and offensive; blatant; scandalous.
- On fire; flaming.