Press cull removing head (4)

I believe the answer is:

urge

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'press' is the definition.
(I know that press can be written as urge)

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

Can you help me to learn more?

(Other definitions for urge that I've seen before include "Capital of Colombia" , "Press to take action" , "Encourage to proceed, drive onwards" , "Encourage (to do something)" , "Induce; yearning" .)

I've seen this clue in The Independent.

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