Steadying nags in Tbilisi (11)

I believe the answer is:

stabilising

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'steadying nags in tbilisi' is the definition.
I can't tell whether this defines the answer.

'in tbilisi' is the wordplay.
I cannot quite understand how this works, but
'in' is found in the answer.
This explanation may well be incorrect...

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I've seen this clue in The Irish Times.

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