Am taking grub back for her to consume: meat (9)

I believe the answer is:

hamburger

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'meat' is the definition.
(hamburger is a kind of meat)

'am taking grub back for her to consume' is the wordplay.
'taking grub back' becomes 'burg' (I can't justify this - if you can you should believe this answer much more).
'for' means one lot of letters go next to another.
'to consume' means one lot of letters goes inside another.
'am'+'burg'='amburg'
'amburg' put into 'her' is 'HAMBURGER'.

Can you help me to learn more?

(Other definitions for hamburger that I've seen before include "Beef dish from German city" , "Item of fast food" , "Staple of the fast food industry" , "Fast-food item" , "beefcake" .)

I've seen this clue in the Evening Standard.

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