Takes off the narrow pieces (6)
I believe the answer is:
strips
This might be a double definition.
'takes off' is the first definition.
(strip can mean to remove or take off)
'narrow pieces' is the second definition.
'strips' can be an answer for 'pieces' (strip is a kind of piece). I am not sure about the 'narrow' bit.
'the' acts as a link.
Can you help me to learn more?
(Other definitions for strips that I've seen before include "Gets undressed" , "Takes off clothes" , "outfits" , "Undresses" , "Bands" .)