Carol wants love first and last, being unattached (6)
I believe the answer is:
single
'unattached' is the definition.
(without a partner)
'carol wants love first and last' is the wordplay.
'carol' becomes 'sing' (I've seen this before).
'wants' is a charade indicator (letters next to each other).
'first and last' means to remove the middle letters (only the first and last letters are used).
'love' with its middle taken out is 'le'.
'sing'+'le'='SINGLE'
'being' is the link.
(Other definitions for single that I've seen before include "Ticket To Ride < : > hit" , "Not married, just the one" , "one > individual" , "Solitary or unwed" , "A hit for one run in cricket" .)