Container with dust — objection raised (7)
I believe the answer is:
washtub
'container' is the definition.
(I know that washtub is a type of tub)
'with dust objection raised' is the wordplay.
'with' becomes 'w' (abbreviation).
'dust' becomes 'ash' (I've seen this before).
'objection' becomes 'but' (as in 'no ifs, no buts').
'raised' is a reversal indicator (going up in a down clue).
'but' in reverse letter order is 'tub'.
'w'+'ash'+'tub'='WASHTUB'
(Other definitions for washtub that I've seen before include "Container in which clothes get clean" , "Copper l" , "Large container for cleaning clothes" , "Bath" , "Laundry vessel" .)