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One's base: Roman building, all the rage (7)

Ross

I believe the answer is:

villain

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'one's base' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'roman building all the rage' is the wordplay.
'roman building' becomes 'villa' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'all the rage' becomes 'in' (both can mean trendy).
'villa'+'in'='VILLAIN'

Can you help me to learn more?

(Other definitions for villain that I've seen before include "One played badly" , "Bad guy" , "Wrongdoer" , "Evil character" , "Principal fictional baddie" .)

I've seen this clue in The Telegraph.
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