The most common and most likely answer to this crossword clue is the 8 plus 7 letter word AIREDALE TERRIER
I've seen this crossword clue in The Guardian
A
I
R
E
D
A
L
E
T
E
R
R
I
E
R
Buddy explains!
The straight part
We know that "dog/dog" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dog/dog = airedale terrier.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.