Make public record on waste (8)
I believe the answer is:
disclose
'make public' is the definition.
(I've seen this in another clue)
'record on waste' is the wordplay.
'record' becomes 'disc' (eg a CD, compact disc).
'on' means one lot of letters go next to another (in a down clue, letters appear on others).
'waste' becomes 'lose' (I've seen this in another clue).
'disc'+'lose'='DISCLOSE'
(Other definitions for disclose that I've seen before include "broadcast" , "Let out" , "Divulge or expose" , "Make public" , "show" .)