One of five chew every other piece of fruit (6)
I believe the answer is:
quince
'fruit' is the definition.
(type of fruit)
'one of five chew every other piece' is the wordplay.
'one of five' becomes 'quin' (short for quintuplet, one of five children).
'every other piece' means one should take alternating letters.
The alternating letters of 'chew' are 'ce'.
'quin'+'ce'='QUINCE'
'of' acts as a link.
(Other definitions for quince that I've seen before include "Fruit used to make jam" , "Acidic fruit used in preserves" , "Fruit for jelly" , "Acid pear-shaped fruit used in preserves" , "sliced fruit for newly-weds" .)