Scraps in which peculiar people take sides at first (8)
I believe the answer is:
'scraps' is the definition.
('oddment' can be a synonym of 'scrap')
'peculiar people take sides at first' is the wordplay.
'peculiar' becomes 'odd' (I've seen this before).
'people' becomes 'men' (men are people).
'at first' indicates taking the first letters.
The first letters of 'take sides' is 'ts'.
'in which' acts as a link.
(Other definitions for oddments that I've seen before include "Bits and bobs" , "Remnants" , "Motley assortment of things" , "Bits and pieces, isolated garments" , "Isolated articles, left-overs." .)