Conservative swine appears in blue, wanting a plot analysis (10)
I believe the answer is:
storyboard
'a plot analysis' is the definition.
(a storyboard analyses eg a film plot)
'conservative swine appears in blue' is the wordplay.
'conservative' becomes 'tory' (informal term for a Conservative Party member).
'swine' becomes 'boar' (male pig).
'appears in' is an insertion indicator.
'blue' becomes 'sd' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'tory'+'boar'='toryboar'
'toryboar' put within 'sd' is 'STORYBOARD'.
'wanting' is the link.
(Other definitions for storyboard that I've seen before include "film sequence" , "Visualised dramatic scenario" .)