In time, girls press for action (3,2)

I believe the answer is:

egg on

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'press for action' is the definition.
'egg on' can be an answer for 'press' (I've seen this before). I am not sure about the 'for action' bit.

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for egg on that I've seen before include "One cooking breakfast might have this" , "Press" , "Urge (someone) to take risks" , "Incite, encourage" , "Encourage to act" .)

I've seen this clue in The Hindu.

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