Crossword Genius

Escorted to some low venue, as promised (9)

Ross

I believe the answer is:

undertook

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

'promised' is the definition.
The definition and answer can be both to do with communicating as well as being past participle verbs.
Maybe there's a link between them I don't understand?

'escorted to some low venue' is the wordplay.
I cannot quite understand how this works, but
'to' is present in the answer.
'low' could be 'under' (similar in meaning) and 'under' is present in the answer.
The remaining letters 'ok' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'as' is the link.

Can you help me to learn more?

(Other definitions for undertook that I've seen before include "Tackled" , "Formally promised (to do something)" , "Engaged in" .)

I've seen this clue in the Evening Standard.
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