Reportedly, performer delivering monologue in jacket, say? (7)

I believe the answer is:

wrapper

I'm a little stuck... Click here to teach me more about this clue!

'jacket say?' is the definition.
(I know that jacket is a type of wrapper)

'reportedly performer' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'performer' becomes 'rapper' (I've seen this before).
'rapper' is a homophone of 'WRAPPER'.

'delivering monologue in' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for wrapper that I've seen before include "Packaging" , "dressing-gown" , "(Sweet) paper" , "Paper book cover" , "cover version" .)

I've seen this clue in The Telegraph.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.