Cryptic crossword clue
Out-of-date belief of late arthouse characters 4,5

The most common and most likely answer to this crossword clue is the 4 plus 5 letter word FLAT EARTH

I've seen this crossword clue in Financial Times
F
L
A
T
E
A
R
T
H

Buddy explains!

The straight part
We know that "Out-of-date" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case out-of-date = flat earth.
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.

Latest crossword clues with full explanations