Dog mangled exterior in France (3,7)

I believe the answer is:

fox terrier

'dog' is the definition.
(fox terrier is a kind of dog)

'mangled exterior in france' is the wordplay.
'mangled' indicates anagramming the letters.
'in' is an insertion indicator.
'france' becomes 'fr' (abbreviation).
'exterior' is an anagram of 'oxterrie'.
'oxterrie' placed into 'fr' is 'FOX-TERRIER'.

(Another definition for fox terrier that I've seen is " Small dog, smooth or wire-haired".)

I've seen this clue in The Guardian.

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