Crossword Genius

With which to sweep Ed out of the bed-chamber! (5)

Ross

I believe the answer is:

broom

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'with which to sweep' is the definition.
I can't tell whether this defines the answer.

'ed out of the bed-chamber' is the wordplay.
'out of' suggests deleting specific letters.
'chamber' becomes 'room' (I've seen this before).
'bed' with 'ed' taken out is 'b'.
'b'+'room'='BROOM'

Can you help me to learn more?

(Other definitions for broom that I've seen before include "A new - - sweeps clean" , "Yellow-flowered shrub" , "Yellow-flowering shrub" , "Flowering shrub" , "one's often fitted in a cupboard" .)

I've seen this clue in the Evening Standard.
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