Fruit pulp oddly eaten by primates (6)
I believe the answer is:
apples
'fruit' is the definition.
(I've seen this before)
'pulp oddly eaten by primates' is the wordplay.
'oddly' means one should take alternating letters.
'eaten by' means one lot of letters goes inside another.
'primates' becomes 'apes' (ape is a kind of primate).
The alternating letters of 'pulp' are 'pl'.
'pl' inserted within 'apes' is 'APPLES'.
(Other definitions for apples that I've seen before include "''The silver ... of the moon, / The golden ... of the sun'' (W B Yeats)" , ""____, cherries, hops and women"" , "Russets, pippins etc" , "-- and pears" , "What you make cider from" .)