Produced cheese on toast initially? (5)

I believe the answer is:

begat

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'produced' is the definition.
(I've seen this before)

'cheese on toast initially?' is the wordplay.
'cheese' becomes 'bega' (I can't explain this - if you can you should believe this answer much more).
'on' says to put letters next to each other.
'initially?' indicates taking the first letters (I've seen 'initially' mean this).
The initial letter of 'toast' is 't'.
'bega'+'t'='BEGAT'

Can you help me to learn more?

(Other definitions for begat that I've seen before include "Produced new life" , "Sired" , "Fathered (biblically)" , "Generated" .)

I've seen this clue in the Sydney Morning Herald.

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