The most common and most likely answer to this crossword clue is the 6 plus 8 letter word GERMAN SHEPHERD
I've seen this crossword clue in Financial Times
G
E
R
M
A
N
S
H
E
P
H
E
R
D
More clues leading to the result GERMAN SHEPHERD
- Gardener’s hemp mixed with heroin makes one barking
- One that might be barking mad is upset with NHS GP here, outside emergency room
- Grr! Damn sheep he rounded up?
- One may help police drag men off, keeping peace at first between two women
- European female departs holding lead of poodle, her dog
- Foreign farmworker that’s delighted by effect of red setter or another dog
Buddy explains!
The straight part
We know that "One that might be barking" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one that might be barking = german shepherd.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.