The most common and most likely answer to this crossword clue is the 9 letter word SCREAMING
I've seen this crossword clue in Financial Times
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Buddy explains!

The straight part
We know that "crying out loud" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case crying out loud = screaming.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 SCREAMING mean?
SCREAMING verb- To cry out with a shrill voice; to utter a sudden, sharp outcry, or shrill, loud cry, as in fright or extreme pain; to shriek; to screech.
- To move quickly; to race.
- To be very indicative of; clearly having the characteristics of.
- A scream.
- Loud, sharp, and piercing to the ear.
- Obvious; distinct.
- Effeminate, flamboyant or otherwise obviously gay.