The most common and most likely answer to this crossword clue is the 7 letter word ADVERSE
I've seen this crossword clue in Financial Times
A
D
V
E
R
S
E
More clues leading to the result ADVERSE
- Injurious commercial, very Irish
- Unfavourable notice on poem
- Hurtful rhyme that commercial starts off
- Bad jingle?
- Unfavourable notice given to stanzas
- Bad poetry on poster, perhaps
- Commercial jingle in rhyme is preventing success
- Notice lines likely to cause problems
- Confrontational poem used in commercial
- Inauspicious literary work by Bill
Buddy explains!

The straight part
We know that "antagonistic" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case antagonistic = adverse.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 ADVERSE mean?
ADVERSE adjective- Unfavorable; antagonistic in purpose or effect; hostile; actively opposing one's interests or wishes; contrary to one's welfare; acting against; working in an opposing direction.
- Opposed; contrary; opposing one's interests or desire.
- Opposite; confronting.