A feeling for a horse? (5)

I believe the answer is:

sense

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

'a feeling' is the definition.
(feeling can mean a sensation)

I don't understand how the rest of the clue works.

(Other definitions for sense that I've seen before include "Perceptual faculty" , "One of five main faculties" , "Sound practical judgment" , "Suspect" , "Nous" .)

I've seen this clue in the Evening Standard.

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