Synonyms of 'teeter'
He watched the cup teeter on the edge before it fell.
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When something rocks or when you rock it, it moves slowly and regularly backwards and forwards or from side to side.
His body rocked from side to side.
If someone's emotions see-saw, or a particular situation see-saws, they continually change from one state to another and back again.
The stock-market see-sawed up and down.
Thesaurus for teeter from the Collins English Thesaurus
Teeter is used in expressions such as teeter on the brink and teeter on the edge to emphasize that something seems to be in a very unstable situation or position.