Crossword Genius

OK, one has cut source of fibre — half one's loaf? (5,5)

Ross

I believe the answer is:

right brain

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

'half one's loaf?' is the definition.
Although both the answer and definition are singular nouns, I can't understand how one could define the other.

'ok one has cut source of fibre' is the wordplay.
I cannot really understand how this works, but
'ok' could be 'right' (I've seen this in other clues) and 'right' is present in the answer.
'one' could be 'i' (Roman numeral) and 'i' is found in the answer.
'source' could be 'bran' (I have seen 'Source of fibre' mean 'bran' so perhaps 'source' could also mean 'bran') and 'bran' is found within the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

I've seen this clue in The Times.
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