A story he made up for Scottish island town (8)

I believe the answer is:

rothesay

I'm a little stuck... Click here to teach me more about this clue!

'scottish island town' is the definition.
'rothesay' can be an answer for 'town' (I have seen 'Scottish town' mean 'rothesay' so perhaps 'town' could also mean 'rothesay'). I am not sure about the 'scottish island' bit.

'a story he made up' is the wordplay.
'made up' indicates an anagram.
'a'+'story'+'he'='astoryhe'
'astoryhe' is an anagram of 'ROTHESAY'.

'for' is the link.

Can you help me to learn more?

(Other definitions for rothesay that I've seen before include "Town on Isle of Bute" , "Chief town on Bute; so hearty (anag.)" , "Main town on Bute" , "Scottish town" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.