Mean to upend an insanitary home (5)

I believe the answer is:

nasty

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'mean' is the definition.
(similar in meaning)

'upend an insanitary home' is the wordplay.
'upend' shows that the letters should be reversed in order (I've seen 'upending' mean this).
'insanitary home' becomes 'sty' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'an' back-to-front is 'na'.
'na'+'sty'='NASTY'

'to' acts as a link.

Can you help me to learn more?

(Other definitions for nasty that I've seen before include "Vile" , "Offensive or malicious" , "Not nice" , "Mean" , "Disgusting" .)

I've seen this clue in the Sydney Morning Herald.

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