Glamorous MP, said the parrot (6,5)
I believe the answer is:
pretty polly
'glamorous mp said the parrot' is the definition.
I can't judge whether this definition defines the answer.
'said the parrot' is the wordplay.
'said' becomes 'pretty' (I can't explain this - if you can you should give a lot more credence to this answer).
'the parrot' becomes 'polly' (I've seen this before).
'pretty'+'polly'='PRETTY POLLY'
Can you help me to learn more?
(Other definitions for pretty polly that I've seen before include "Narcissitic parrot talk" , "Traditional address to parrot" .)