Street musician after endless wild party more annoyed to secure no date (5,7)
I believe the answer is:
organ grinder
'street musician' is the definition.
(I've seen this before)
'endless wild party more annoyed to secure no date' is the wordplay.
'endless' means to remove the last letter.
'wild party' becomes 'orgy' (orgy can mean a boisterous party).
'more annoyed' becomes 'angrier' (more angry).
'to secure' means one lot of letters goes inside another (inserted letters are secured inside).
'no date' becomes 'nd'.
'orgy' with its last letter taken off is 'org'.
'org'+'angrier'='organgrier'
'organgrier' enclosing 'nd' is 'ORGAN-GRINDER'.
'after' is the link.
(Other definitions for organ grinder that I've seen before include "Street musician with a hurdy-gurdy" , "Controller" , "Old player" , "Street entertainer" , "Monkey's master when playing on the street" .)