Bear or horse shelter (7)

I believe the answer is:

harbour

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This clue could be a double definition.

'bear' is the first definition.
(I've seen this before)

'horse shelter' is the second definition.
'harbour' can be an answer for 'shelter' (I've seen this before). I am not certain of the 'horse' bit.

'or' is the link.

Can you help me to learn more?

(Other definitions for harbour that I've seen before include "what a master may overlook?" , "Shelter for shipping" , "Ship haven or shelter" , "Keep in mind; refuge" , "Place of refuge" .)

I've seen this clue in The Times and The Sunday Times.

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