The most common and most likely answer to this crossword clue is the 8 letter word BIDDABLE
I've seen this crossword clue in Financial Times
B
I
D
D
A
B
L
E
Buddy explains!

The straight part
We know that "Obedient" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case obedient = biddable.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.
What does BIDDABLE mean?
BIDDABLE adjective- Docile, amenable or compliant.
- Suitable for bidding.