The most common and most likely answer to this crossword clue is the 6 letter word RECTOS
R
E
C
T
O
S
Buddy explains!

The straight part
We know that "Odd pages/ /" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case odd pages/ / = rectos.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 RECTOS mean?
RECTOS noun- The front side of a flat object which is to be examined visually, as for reading, such as a sheet, leaf, coin or medal.
- The right-hand page of a book of a script which reads from left to right, usually having an odd page number.
- A writ of right.