The most common and most likely answer to this crossword clue is the 13 letter word SUBORDINATION
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Buddy explains!
The straight part
We know that "Bending to authority" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bending to authority = subordination.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 SUBORDINATION mean?
SUBORDINATION noun- The process of making something subordinate.
- The process of subordinating.
- The property of being subordinate; inferiority of rank or position.
- The quality of being properly obedient to a superior (as a superior officer).