My word for doggie barking (4,5)

I believe the answer is:

good grief

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

'for doggie barking' is the wordplay.
'barking' is an anagram indicator (UK slang for mad).
'for'+'doggie'='fordoggie'
'fordoggie' with letters rearranged gives 'GOOD GRIEF'.

'word' is the link.
This may not be right. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for good grief that I've seen before include "Oath given surprisingly" , "I'm dismayed!" , "Exasperated utterance" , "Exclamation of surprise or dismay" .)

I've seen this clue in The Telegraph.

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