Rushing madly from Tangier (7)

I believe the answer is:

tearing

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'rushing madly' is the definition.
'tearing' can be an answer for 'rushing' (tearing is a kind of rushing). I'm unsure of the 'madly' bit.

'from tangier' is the wordplay.
'from' indicates an anagram (the anagram comes from the same letters).
'tangier' is an anagram of 'TEARING'.

Can you help me to learn more?

(Other definitions for tearing that I've seen before include "'Pulling apart, ripping (7)'" , "splitting" , "violent" , "Granite (anag.)" .)

I've seen this clue in The Irish Independent and The Globe and Mail.

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