The most common and most likely answer to this crossword clue is the 7 letter word LEUCOMA
I've seen this crossword clue in The Guardian
L
E
U
C
O
M
A
Buddy explains!

The straight part
We know that "complaint in the Observer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case complaint in the observer = leucoma.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 LEUCOMA mean?
LEUCOMA noun- An opaque area or scar on the cornea of an eye