Speech by one actor taking day with official's first record, say (9)
I believe the answer is:
monologue
'speech' is the definition.
(monologue is a kind of speech)
'day with official's first record say' is the wordplay.
'day' becomes 'mon' (abbreviation for Monday).
'with' says to put letters next to each other.
'official's first' becomes 'o' (lst letter of 'official').
'record say' becomes 'logue' (I am not sure about this - if you are sure you should believe this answer much more).
'mon'+'o'+'logue'='MONOLOGUE'
'by one actor taking' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for monologue that I've seen before include "Soliloquy" , "Long speech by one actor" , "Long dramatic speech by a single actor" , "Long and tedious speech" , "Long uninterrupted speech" .)