Improper duo I censor with rewriting (10)

I believe the answer is:

indecorous

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'improper duo i censor with rewriting' is the definition.
I can't judge whether this defines the answer.

'improper duo i censor' is the wordplay.
'improper' is an anagram indicator.
'duo'+'i'+'censor'='duoicensor'
'duoicensor' is an anagram of 'INDECOROUS'.

Can you help me to learn more?

(Other definitions for indecorous that I've seen before include "somewhat rough" , "Unseemly" .)

I've seen this clue in The Times.

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