The most common and most likely answer to this crossword clue is the 7 letter word BASENJI
I've seen this crossword clue in The Times
B
A
S
E
N
J
I
More clues leading to the result BASENJI
- Dog I poke around when it's swallowed bit of foreign money
- Root, at first needing juice, in rare source of bark [7]
- Graduate nurse in the past, one keeping judge’s dog
- Dog‘s home supported by judge in Ulster
- Corrupt judge in Northern Ireland is a dog
- Dog‘s home opening now jeopardised by current reduction
- Nurse admitted Indian dish that’s hot dislodged canine
- Dog’s foot a state — iodine applied
- Dog found Jack buried in Northern Ireland
- Vet medially enters jabs in ailing dog
Buddy explains!

The straight part
We know that "rare source of bark" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rare source of bark = basenji.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.