The most common and most likely answer to this crossword clue is the 7 plus 3 letter word BRASSED OFF
I've seen this crossword clue in Independent
B
R
A
S
S
E
D
O
F
F
More clues leading to the result BRASSED OFF
- Film making you fed up
- Fed up with money leaving, putting the squeeze on education
- Exasperated supporters regularly speed away
- Annoyed part of orchestra served up very loud song
- Miserable — as might be trombonist?
- Annoyed supporters
- Negligent boss almost dared to suppress very strong film
- Exasperated with guards stopping bread distribution; postponed
- Underwear removed including smalls, editor unhappy
Buddy explains!

The straight part
We know that "Fed up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fed up = brassed off.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.