Waved or wavered (7)

I believe the answer is:

flagged

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This clue could be a double definition.

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

'wavered' is the second definition.
The definition and answer can be both to do with communicating as well as being past participle verbs.
Perhaps they are linked in a way I don't understand?

'or' acts as a link.

Can you help me to learn more?

(Another definition for flagged that I've seen is " tired".)

I've seen this clue in the Evening Standard.

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