Answer's in perplexing political publication (7)
I believe the answer is:
hansard
'political publication' is the definition.
(record of parliamentary debates)
'answer's in perplexing' is the wordplay.
'answer' becomes 'ans' (abbreviation for answer).
'in' is an insertion indicator.
'perplexing' becomes 'hard' (hard can mean difficult or perplexing).
'ans' inserted within 'hard' is 'HANSARD'.
(Other definitions for hansard that I've seen before include "political publication" , "Official record of parliamentary debates" , "Verbatim report of UK parliamentary proceedings" , "Printed record of Westminster debates" , "House journal" .)