I’m back home right at lunchtime, having soup (10)

I believe the answer is:

minestrone

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'soup' is the definition.
(minestrone is a kind of soup)

'i'm back home right at lunchtime' is the wordplay.
'back' says the letters should be written in reverse.
'home' becomes 'nest' (I've seen this before).
'right at lunchtime' becomes 'rone' (I can't explain this - if you can you should believe this answer much more).
'im' written backwards gives 'mi'.
'mi'+'nest'+'rone'='MINESTRONE'

'having' acts as a link.

Can you help me to learn more?

(Other definitions for minestrone that I've seen before include "Dish" , "Item on menu" , "Italian soup" , "A starter" , "F" .)

I've seen this clue in the Evening Standard.

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