One might be attached to a horse: keeps blabbering about hugging horse’s back! (7)

I believe the answer is:

nosebag

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'back' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps they are linked in a way I don't understand?

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for nosebag that I've seen before include "Feeder strapped on horse" , "Suspended food supply" , "Horse's fodder container" , "Container for a horse's dinner" , "Horse's feed container" .)

I've seen this clue in The Hindu.

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