Cat's-paw of the extremist Left? (4)

I believe the answer is:

tool

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'cat's-paw' is the definition.
(I've seen this in another clue)

'extremist left?' is the wordplay.
'extremist' becomes 'too' (I can't explain this - if you can you should believe this answer much more).
'left?' becomes 'l' (common abbreviation).
'too'+'l'='TOOL'

'of the' acts as a link.

Can you help me to learn more?

(Other definitions for tool that I've seen before include "Cat's-paw; impress design on" , "Maybe saw" , "Drive motor skilfully" , "one of 12 [SPADES] , for example" , "organ" .)

I've seen this clue in the Evening Standard.

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