Children's lives pursue action (5)

I believe the answer is:

issue

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'children's' is the definition.
(issue can mean someone's offspring)

'lives pursue action' is the wordplay.
'lives' becomes 'is' ('be' can be a synonym of 'live').
'pursue action' becomes 'sue' (I am not sure about this - if you are sure you should believe this answer much more).
'is'+'sue'='ISSUE'

Can you help me to learn more?

(Other definitions for issue that I've seen before include "Important question" , "Children; important topic" , "Publish, bring out" , "Matter of contention" , "Produce" .)

I've seen this clue in The Times.

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