Crossword Genius

Children’s programme taking over core of series (6)

Ross

I believe the answer is:

sprogs

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'children's programme' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'taking over core of series' is the wordplay.
'taking' indicates putting letters inside.
'over' becomes 'prog' (I can't justify this - if you can you should give a lot more credence to this answer).
'core of' says to hollow out the word (remove centre letters) (I've seen 'cored' mean this).
'series' with its middle removed is 'ss'.
'prog' inserted within 'ss' is 'SPROGS'.

Can you help me to learn more?

(Other definitions for sprogs that I've seen before include "RAF recruits (sl.)" , "kids" , "Children, colloquially" .)

I've seen this clue in The Guardian.
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