Consent to keep giving separately, and only half, to cause distress (8)

I believe the answer is:

aggrieve

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'cause distress' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for aggrieve that I've seen before include "Cause to feel sorrow" , "Make resentful" , "Sadden" , "Hurt" , "Cause annoyance to" .)

I've seen this clue in The Times.

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