The most common and most likely answer to this crossword clue is the 13 letter word DENUNCIATIONS
I've seen this crossword clue in The Times
D
E
N
U
N
C
I
A
T
I
O
N
S
Buddy explains!
The straight part
We know that "obloquies" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case obloquies = denunciations.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 DENUNCIATIONS mean?
DENUNCIATIONS noun- Proclamation; announcement; a publishing.
- The act of denouncing; public menace or accusation; the act of inveighing against, stigmatizing, or publicly arraigning; arraignment.
- That by which anything is denounced; threat of evil; public menace or accusation; arraignment.