Storm split again around area (7)

I believe the answer is:

tornado

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'storm' is the definition.
(tornado is a kind of storm)

'split again around area' is the wordplay.
'split' becomes 'torn' (I've seen this in other clues).
'again around area' becomes 'ado' (I can't explain this - if you can you should give a lot more credence to this answer).
'torn'+'ado'='TORNADO'

Can you help me to learn more?

(Other definitions for tornado that I've seen before include "Funnel-shaped windstorm" , "Terrible storm" , "Severe wind" , "Whirling storm" , "wind-up" .)

I've seen this clue in The Telegraph.

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