Criminal conspires with husband for the suppression of anything obscene (10)
I believe the answer is:
censorship
'the suppression of anything obscene' is the definition.
I can't tell whether this definition defines the answer.
'criminal conspires with husband' is the wordplay.
'criminal' indicates anagramming the letters.
'with' is an insertion indicator.
'husband' becomes 'h' (abbreviation).
'conspires' with letters rearranged gives 'censorsip'.
'censorsip' going around 'h' is 'CENSORSHIP'.
'for' acts as a link.
Can you help me to learn more?
(Other definitions for censorship that I've seen before include "System of classifying films, etc for suitability" , "restrictive practice" , "cleaning work?" , "Expurgation" , "Publishing restriction" .)