Channel for auditor having got rid of The Kinks (8)
I believe the answer is:
straight
'having got rid of the kinks' is the definition.
(straightened out or unkinked)
'channel for auditor' is the wordplay.
'channel' becomes 'strait' (strait is a kind of channel).
'for auditor' indicates a 'sounds like' (homophone) clue.
'strait' sounds like 'STRAIGHT'.
(Other definitions for straight that I've seen before include "Honest, not crooked" , "Without deviation" , "not gay" , "Honourable" , "Sat right in unbending way" .)