C for Communist? (4-2-6)

I believe the answer is:

left-of-centre

I'm a little stuck... Click here to teach me more about this clue!

'c' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'communist?' is the wordplay.
I cannot really see how this works, but
'communist?' could be 'left' (I've seen this before) and 'left' is present in the answer.
This explanation may well be incorrect...

'for' acts as a link.

Can you help me to learn more?

I've seen this clue in The Guardian.

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