The most common and most likely answer to this crossword clue is the 8 letter word LEFTOVER
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More clues leading to the result LEFTOVER
Buddy explains!

The straight part
We know that "Odd" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case odd = leftover.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 LEFTOVER mean?
LEFTOVER noun- Something left behind; an excess or remainder.
- (chiefly in the plural, usually of food) Remaining after a meal is complete or eaten for a later meal or snack.
- Remaining; left behind; extra; in reserve.