Natural at spinning, tropical spider (9)

I believe the answer is:

tarantula

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'tropical spider' is the definition.
'tarantula' can be an answer for 'spider' (tarantula is a kind of spider). I'm not sure about the 'tropical' bit.

'natural at spinning' is the wordplay.
'spinning' is an anagram indicator.
'natural'+'at'='naturalat'
'naturalat' is an anagram of 'TARANTULA'.

Can you help me to learn more?

(Other definitions for tarantula that I've seen before include "Hairy arachnid" , "small, venomous creature" , "web developer" , "Large venomous spider" , "spider to appear" .)

I've seen this clue in The Telegraph.

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