Horse served in Bordeaux maybe causing belly-ache (5)

I believe the answer is:

whine

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'causing belly-ache' is the definition.
I can't judge whether this defines the answer.

'horse served in bordeaux' is the wordplay.
'horse' becomes 'h' (synonyms).
'served in' is an insertion indicator.
'bordeaux' becomes 'wine' (I've seen this in another clue).
'h' going inside 'wine' is 'WHINE'.

'maybe' is the link.

Can you help me to learn more?

(Other definitions for whine that I've seen before include "Gripe" , "Nagging complaint" , "beef?" , "Complain peevishly" , "Whimper" .)

I've seen this clue in The Sun.

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