A tasteful slipper (3)
I believe the answer is:
eel
'slipper' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for eel that I've seen before include "Slippery character" , "User of electric organ" , "Slippery figure" , "Slimy fish" , "Ribbon-like fish" .)