A Glaswegian at the races (5)

I believe the answer is:

ascot

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

'at the races' is the definition.
I can't tell whether this definition defines the answer.

'a glaswegian' is the wordplay.
'glaswegian' becomes 'scot' (I've seen this in another clue).
'a'+'scot'='ASCOT'

Can you help me to learn more?

(Other definitions for ascot that I've seen before include "Coats (anag) - racecourse" , "Berks racecourse" , "Royal race meeting venue" , "Berkshire race course" , "course without any fences!" .)

I've seen this clue in The Irish Independent.

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