Bits he'd removed from cheese dip (6)
I believe the answer is:
pieces
'bits' is the definition.
('piece' can be a synonym of 'bit')
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for pieces that I've seen before include "Chessmen" , "Portions, parts" , "Fragments" , "Bits, portions" , "barrels of wine" .)