Hunt or search, possibly, without right (5)

I believe the answer is:

chase

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'hunt' is the definition.
(I know that hunt is a more specific form of the action chase)

I cannot understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for chase that I've seen before include "Engrave - hunt - pursue" , "Hound" , "groove" , "Pursuit" , "Composed type accommodated in this" .)

I've seen this clue in the Evening Standard.

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