Struggle to suppress urge about food served up — it may be in a bun (6,6)

I believe the answer is:

veggie burger

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'up it may be in a bun' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.

'struggle to suppress urge about food' is the wordplay.
'struggle' becomes 'vie' (to vie is to struggle or contend with).
'to suppress' indicates putting letters inside.
'urge' becomes 'egg' (as in egging someone on).
'about food' becomes 'burger' (I have seen 'fast food' mean 'burger' so perhaps 'food' could also mean 'burger'. I am not sure about the 'about' bit.).
'vie' placed around 'egg' is 'veggie'.
'veggie'+'burger'='VEGGIE-BURGER'

'served' is the link.

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I've seen this clue in The Times.

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