Bet Premier goes off on a stroll (5)

I believe the answer is:

amble

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'stroll' is the definition.
(synonyms)

I cannot understand how the remainder of the clue works.

(Other definitions for amble that I've seen before include "Walk in a leisurely fashion" , "Go at a leisurely gait" , "Walk at an easy pace" , "Toddler does this" , "Meander" .)

I've seen this clue in the Sydney Morning Herald.

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