Crossword Genius

Snail gag we rejigged for Billy Connolly, perhaps (10)

Ross

I believe the answer is:

glaswegian

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

'billy connolly perhaps' is the definition.
I can't judge whether this definition defines the answer.

'snail gag we rejigged' is the wordplay.
'snail gag we' anagrams to 'GLASWEGIAN'.
However, I'm not sure how this is indicated.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for glaswegian that I've seen before include "Celt?" , "Scotsman" , "Scot" .)

I've seen this clue in The Independent.
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