1. moved unsteadily back and forth or from side to side
Usage: past tense of teeter
2. was very close to a particular state or situation, especially a dangerous or undesirable one
Usage: figurative use; often followed by ‘on the brink/edge of’

Examples

• The old man teetered as he walked down the icy sidewalk.
• She teetered on her high heels crossing the cobblestone street.
• The stack of books teetered dangerously on the edge of the desk.
• The company teetered on the brink of bankruptcy for months.
• The negotiations teetered between success and failure.
• He teetered back and forth on the seesaw with his daughter.
• The economy teetered on the edge of recession.