Author's one to stick around after show starts (8)
I believe the answer is:
salinger
'author's' is the definition.
(JD Salinger)
'one to stick around after show starts' is the wordplay.
'one' becomes 'a'.
'to stick around' becomes 'linger'.
'after' means one lot of letters go next to another.
'starts' suggests taking the first letters.
The initial letter of 'show' is 's'.
'a'+'linger'='alinger'
'alinger' put after 's' is 'SALINGER'.
(Other definitions for salinger that I've seen before include "US novelist" , "US author of The Catcher in the Rye" , "'JD..., author of The Catcher in the Rye (8)'" , "J. D. ..., author of Catcher in the Rye" , "Jerome D ........ wrote ` ` The Catcher in the Rye' '" .)