They try to attract one’s attention and one hesitates (6)

I believe the answer is:

wavers

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'one hesitates' is the definition.
(I've seen this in another clue)

I cannot understand how the rest of the clue works.

(Other definitions for wavers that I've seen before include "Dithers" , "Vacillates" .)

I've seen this clue in the Evening Standard.

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