I note domestic animals turning up together (2,4)

I believe the answer is:

in step

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'up together' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'i note domestic animals turning' is the wordplay.
'note' becomes 'n' (abbreviation).
'domestic animals' becomes 'pets' (I've seen this before).
'turning' says the letters should be written backwards.
'pets' written backwards gives 'step'.
'i'+'n'+'step'='IN STEP'

Can you help me to learn more?

(Other definitions for in step that I've seen before include "moving in unison" , "working together" , "with agreement" , "Foot arch - conforming" , "Marching together correctly" .)

I've seen this clue in The Independent.

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