Riding fan got on badly, moving back and forth (5,3,6)

I believe the answer is:

toing and froing

'moving back and forth' is the definition.

'riding fan got on badly' is the wordplay.
'badly' indicates an anagram.
'riding'+'fan'+'got'+'on'='ridingfangoton'
'ridingfangoton' with letters rearranged gives 'TOING AND FROING'.

(Another definition for toing and froing that I've seen is " bustling activity".)

I've seen this clue in The Times.

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