At that point, it’s repeatedly said to offer reassurance (5)

I believe the answer is:

there

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'at that point' is the definition.
(over there)

I cannot understand how the remainder of the clue works.

(Other definitions for there that I've seen before include "Consoling word" , "that particular place" , "Triumphant exclamation" , "Exclamation of triumph or sympathy" , "In that respect" .)

I've seen this clue in The Times.

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