The most common and most likely answer to this crossword clue is the 8 letter word SCOTTISH
I've seen this crossword clue in The Times
S
C
O
T
T
I
S
H
More clues leading to the result SCOTTISH
- Glaswegian, possibly, rather like Sir Walter?
- Small bed on this irritated Caledonian
- Like William Wallace‘s outdated tax, this is complicated
- Maybe Celtic sofa initially like a bed?
- Author is hard to follow, like others of his ilk
- Habitually tight, pinching clubs from St Andrews?
- Caledonian author and his novel
- Caledonian school accepting books it’s condemned!
- Nationality of extreme independent socialists’ leader visiting school
- Silence surrounding model, back on bed, showing tongue
Buddy explains!

The straight part
We know that "Glaswegian, possibly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case glaswegian, possibly = scottish.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.