Eccentric plus this blood relative could be insupportable (9)

I believe the answer is:

bioparent

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'eccentric plus this blood' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'relative could be insupportable' is the wordplay.
I cannot really see how this works, but
'relative' could be 'parent' (parent is a kind of relative) and 'parent' is present in the answer.
The remaining letters 'bio' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in The Telegraph.

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