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Room for eg Hoover that's not working in alcove I redesigned? (4,6)

Ross

I believe the answer is:

oval office

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'room' is the definition.
(I have seen 'Presidential room ' mean 'oval office' so perhaps 'room' could also mean 'oval office')

'not working in alcove i redesigned?' is the wordplay.
'not working' becomes 'off' (switched off).
'in' means one lot of letters goes inside another.
'redesigned?' indicates an anagram (I've seen 'redesigns' mean this).
'alcove'+'i'='alcovei'
'alcovei' with letters rearranged gives 'ovalice'.
'off' going within 'ovalice' is 'OVAL OFFICE'.

'for eg hoover that's' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for oval office that I've seen before include "Where US presidents have their desk" , "room for president" , "US presidential room" , "US president's workplace" .)

I've seen this clue in The Times.
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