The most common and most likely answer to this crossword clue is the 5 letter word LOGIA
I've seen this crossword clue in Financial Times
L
O
G
I
A
Buddy explains!

The straight part
We know that "Christ’s sayings" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case christ’s sayings = logia.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 LOGIA mean?
LOGIA noun- A traditional saying of a religious leader.
- (specifically) A saying that is attributed to Jesus in ancient or reconstructed texts that was (originally) handed down without narrative context.