Pout about refusal to record one's speech (9)
I believe the answer is:
monologue
'one's speech' is the definition.
'monologue' can be an answer for 'speech' (monologue is a kind of speech). I'm not sure about the 'one's' bit.
'pout about refusal to record' is the wordplay.
'pout' becomes 'moue' (synonyms).
'about' indicates putting letters inside.
'refusal' becomes 'no'.
'to record' becomes 'log' (logging is a kind of recording).
'no'+'log'='nolog'
'moue' going around 'nolog' is 'MONOLOGUE'.
Can you help me to learn more?
(Other definitions for monologue that I've seen before include "Soliloquy" , "Long solo speech" , "Long uninterrupted speech" , "Long speech by one actor" , "speaking without interruption" .)