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8d Brightness initially covered by rubbish (6)
I have L?t?E?
If the answer is LITTER, please explain
Last one...
21d Refuse to accept one evidence of intelligence (5)
I have B?A?N
If the answer is BRAIN, please explain

21D Chambers has "bran" as refuse (n), ie. husks.

Bran was once considered the waste product of flour and was discarded as that, so Refuse (as in Rubbish or waste) must be Bran with one (i) in it
Bra (i) n

Many thanks

A bit vague, but can only think of Brightness = Glitter (G) litter

I assume you mean the first letter of GLITTER is "covered".

Interesting form of head deletion indicator.