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totter (v.)

c. 1200, "swing to and fro," of uncertain origin, perhaps from a Scandinavian source (compare dialectal Norwegian totra "to quiver, shake"). Meaning "stand or walk with shaky, unsteady steps" is from c. 1600. Related: Tottered; tottering.

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Definitions of totter from WordNet

totter (v.)
move without being stable, as if threatening to fall;
The drunk man tottered over to our table
totter (v.)
walk unsteadily;
Synonyms: toddle / coggle / dodder / paddle / waddle
totter (v.)
move unsteadily, with a rocking motion;
Synonyms: teeter / seesaw
From wordnet.princeton.edu