Wandering tribe rehoused in remote islands (5,8)

I believe the answer is:

outer hebrides

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'wandering tribe rehoused in remote islands' is the definition.
I can't tell whether this defines the answer.

'wandering tribe rehoused' is the wordplay.
'wandering' is an anagram indicator.
'tribe'+'rehoused'='triberehoused'
'triberehoused' anagrammed gives 'OUTER HEBRIDES'.

Can you help me to learn more?

(Other definitions for outer hebrides that I've seen before include "Lewis and Harris location" , "The Western Isles" , "Scots isles" , "Island group containing Lewis and Harris" , "remote Scottish area" .)

I've seen this clue in The Times.

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