Singer in swivel -- wife going nuts (5)
I believe the answer is:
elvis
'singer' is the definition.
(I know that Elvis is a rock star)
'swivel wife going nuts' is the wordplay.
'wife' becomes 'w' (abbreviation).
'going' suggests deleting specific letters.
'nuts' indicates anagramming the letters (nuts can mean crazy).
'swivel' with 'w' taken away is 'sivel'.
'sivel' is an anagram of 'ELVIS'.
'in' acts as a link.
(Other definitions for elvis that I've seen before include "'The King' (singer)" , "The familiar R 'n'Roll king" , "'The King,' 50s pop idol" , "Deceased king of rock 'n' roll" , "Lives for rock'n'roll king" .)