Political theories needing frightfully good lies about case of image (10)
I believe the answer is:
ideologies
'political theories' is the definition.
'frightfully good lies about case of image' is the wordplay.
'frightfully' indicates an anagram (I've seen this in other clues).
'about' indicates putting letters inside.
'case of' says to hollow out the word (remove centre letters) (outsides of).
'image' with its centre removed is 'ie'.
'good'+'lies'='goodlies'
'goodlies' with letters rearranged gives 'ideologs'.
'ideologs' enclosing 'ie' is 'IDEOLOGIES'.
'needing' acts as a link.
I've seen this clue in The Telegraph.
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