Cryptic crossword clue
After resistance, change census area – that allays doubts 11

The most common and most likely answer to this crossword clue is the 11 letter word REASSURANCE

I've seen this crossword clue in Financial Times
R
E
A
S
S
U
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A
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Buddy explains!

The straight part
We know that "that allays doubts" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case that allays doubts = reassurance.
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 REASSURANCE mean?

REASSURANCE noun
  1. The feeling of being reassured, of having confidence restored, of having apprehensions dispelled.
  2. The act of confirming someone's opinion or impression.
  3. Reinsurance.

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