Move slowly shifting blame (5)

I believe the answer is:

amble

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'move' is the definition.
(amble is a kind of move)

'slowly shifting blame' is the wordplay.
'blame' can be anagrammed to 'AMBLE'.
However, I am not clear how this is indicated.

Can you help me to learn more?

(Other definitions for amble that I've seen before include "Go at a leisurely gait" , "Wander casually" , "Meander" , "Dawdle" , "Casual walk" .)

I've seen this clue in The Sun.

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