Crossword Genius

As Dad brought back the sweetener, got the lily-family shoots (9)

Ross

I believe the answer is:

asparagus

I'm a little stuck... Click here to teach me more about this clue!

'the lily-family shoots' is the definition.
I can't judge whether this definition defines the answer.

'as dad brought back the sweetener' is the wordplay.
'dad' becomes 'pa' (both can mean one's father).
'brought back' shows that the letters should be reversed in order.
'the sweetener' becomes 'sugar' (sugar is a kind of sweetener).
'sugar' in reverse letter order is 'ragus'.
'as'+'pa'+'ragus'='ASPARAGUS'

'got' is the link.

Can you help me to learn more?

(Other definitions for asparagus that I've seen before include "Food" , "Spears or shoots" , "Sugar asap for the vegetable" , "Speared vegetable" , "Spear-carrier" .)

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