The most common and most likely answer to this crossword clue is the 8 plus 6 letter word CRIMINAL RECORD
I've seen this crossword clue in The Sunday Telegraph
C
R
I
M
I
N
A
L
R
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C
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D
Buddy explains!
The straight part
We know that "Form in which a person’s convictions are manifest" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case form in which a person’s convictions are manifest = criminal record.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.