Audience embrace style of one that's really famous (9,4)
I believe the answer is:
household name
'really famous' is the definition.
I can't tell whether this definition defines the answer.
'audience embrace style of one' is the wordplay.
I cannot quite see how this works, but
'audience' could be 'house' (term for a theatre's audience) and 'house' is found within the answer.
'of' could be 'o' and 'o' is located in the answer.
'one' could be 'me' (a setter might use 'one' to humourously mean 'me') and 'me' is found in the answer.
This may be the basis of the clue (or it may be nonsense).
'that's' is the link.
Can you help me to learn more?
(Other definitions for household name that I've seen before include "Famous person or thing" , "Celebrity" , "Famous (living) person" , "One everyone's heard of" , "One famous" .)