The most common and most likely answer to this crossword clue is the 6 letter word GAPING
I've seen this crossword clue in The Times
G
A
P
I
N
G
More clues leading to the result GAPING
Buddy explains!

The straight part
We know that "open-mouthed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case open-mouthed = gaping.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 GAPING mean?
GAPING verb- To open the mouth wide, especially involuntarily, as in a yawn, anger, or surprise.
- To stare in wonder.
- To open wide; to display a gap.
- Of a cat: to open the passage to the vomeronasal organ, analogous to the flehming in other animals.
- Wide open.
- The act of one who gapes.
- Something gaping; something agape.