The most common and most likely answer to this crossword clue is the 4 letter word ORRA
O
R
R
A
Buddy explains!
The straight part
We know that "Odd Scottish" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case odd scottish = orra.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 ORRA mean?
ORRA adjective- Superfluous; odd, unmatched, left over.
- Of people: idle, unemployed, disreputable.