Prince Andrew’s regularly going out after sex, primarily in suit (6)
I believe the answer is:
spades
'suit' is the definition.
(playing card suit)
'prince andrew's regularly going out after sex primarily' is the wordplay.
'prince' becomes 'p'.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'going out' indicates an anagram (out can mean wrong or inaccurate).
'after' is a charade indicator (letters next to each other).
'primarily' suggests taking the first letters.
The first letter of 'sex' is 's'.
The alternate letters of 'andrews' are 'ades'.
'p'+'ades'='pades'
'pades' is an anagram of 'spade'.
'spade'+'s'='SPADES'
'in' is the link.
(Other definitions for spades that I've seen before include "Passed around with diggers" , "trumps sometimes" , "Implements for a suit" , "Does some groundwork" , "dark suit" .)