Put your money on a non-runner in "Baby Wear" (6)
I believe the answer is:
bonnet
'wear' is the definition.
(I know that bonnet is a more specific form of the action hat)
'put your money on a non-runner in baby' is the wordplay.
I cannot quite understand how this works, but
'on' is found in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for bonnet that I've seen before include "Cover for head or engine" , "Lady's old-fashioned hat" , "Soft cap" , "Headwear for a car?" , "Type of woman's hat" .)