Popular single room with unusual character (5,6)

I believe the answer is:

space oddity

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'popular single' is the definition.
'space oddity' can be an answer for 'single' (I've seen this before). I am not sure about the 'popular' bit.

'room with unusual character' is the wordplay.
'room' becomes 'space' (I've seen this before).
'with unusual character' becomes 'oddity' (I can't justify this - if you can you should believe this answer much more).
'space'+'oddity'='SPACE ODDITY'

Can you help me to learn more?

(Another definition for space oddity that I've seen is " Single".)

I've seen this clue in The Telegraph.

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