Quirk of king with tattoo (4)
I believe the answer is:
kink
'quirk' is the definition.
(I've seen this in another clue)
'king with tattoo' is the wordplay.
'king' becomes 'k' (abbreviation for king in chess).
'with' is a charade indicator (letters next to each other).
'tattoo' becomes 'ink' (ink can informally mean a tattoo).
'k'+'ink'='KINK'
'of' is the link.
(Other definitions for kink that I've seen before include "Bend or twist" , "The whim" , "gasp" , "Crimp" , "Sharp twist in wire or hair, perhaps" .)