Harry, having no car, may want this for his horse (3)
I believe the answer is:
hay
'want this for his horse' is the definition.
The definition suggests a singular noun which matches the answer.
'harry having no car' is the wordplay.
'having no' suggests deleting specific letters.
'car' becomes 'RR' (Rolls Royce).
'harry' with 'rr' removed is 'HAY'.
'may' acts as a link.
Can you help me to learn more?
(Other definitions for hay that I've seen before include "Meadow crop" , "It is to be made while the sun shines" , "Dried mown grass" , "Dried grass as fodder" , "Make . . . while the sun shines" .)