Regularly pull in cheers for egg production (9)

I believe the answer is:

ovulation

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'egg production' is the definition.
The definition suggests a singular noun which matches the answer.

'regularly pull in cheers' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
'in' means one lot of letters goes inside another.
'cheers' becomes 'ovation'.
The alternating letters of 'pull' are 'ul'.
'ul' going into 'ovation' is 'OVULATION'.

'for' acts as a link.

Can you help me to learn more?

(Other definitions for ovulation that I've seen before include "monthly process" , "delivery of eggs" , "monthly occurrence" .)

I've seen this clue in The Telegraph.

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