Equine sound in chestnut about right (4)

I believe the answer is:

bray

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'equine sound' is the definition.
'bray' can be an answer for 'sound' (bray is a kind of sound). I am not certain of the 'equine' bit.

'chestnut about right' is the wordplay.
'chestnut' becomes 'bay' (I've seen this before).
'about' is an insertion indicator.
'right' becomes 'r' (common abbreviation).
'bay' going around 'r' is 'BRAY'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for bray that I've seen before include "where musical vicar lived" , "Neigh" , "Cry of animal" , "time-serving vicar's parish" , "Noise of a donkey" .)

I've seen this clue in The Times.

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