tottering

US /ˈtɑː.t̬ɚ.ɪŋ/
UK /ˈtɑː.t̬ɚ.ɪŋ/
1.

lung lay

walking with difficulty in a way that looks as if you are about to fall:

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One picture was of a tottering 89-year-old leaving the platform after her conference speech.