The most common and most likely answer to this crossword clue is the 11 letter word DOG-EAT-DOG
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More clues leading to the result DOG-EAT-DOG
Buddy explains!

The straight part
We know that "Fiercely competitive" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fiercely competitive = dog-eat-dog.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 DOG-EAT-DOG mean?
DOG-EAT-DOG adjective- Ruthlessly acquisitive or competitive. Describes a business or other set of circumstances where people try to succeed at the expense of other people.