Veto child rebuilding a London theatre (3,3,3)

I believe the answer is:

the old vic

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

'a london theatre' is the definition.
'the old vic' can be an answer for 'theatre' (I've seen this before). I'm not sure about the 'a london' bit.

'veto child rebuilding' is the wordplay.
'rebuilding' indicates an anagram.
'veto'+'child'='vetochild'
'vetochild' with letters rearranged gives 'THE OLD VIC'.

Can you help me to learn more?

(Another definition for the old vic that I've seen is " theatre".)

I've seen this clue in The Irish Independent.

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