Did remove them from speed dial by arrangement, kindly (6)

I believe the answer is:

please

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

I don't understand the rest of the clue.

(Other definitions for please that I've seen before include "If you'd be so kind?" , "Entertain" , "It's said to help" , "suit" , "Make happy or glad" .)

I've seen this clue in The Irish Times.

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