tremble precariously, seesaw, totter, wobble, sway, waver, dangle, reel, stagger, quiver, flutter, teeter-totter, weave.
Antonyms fall*, rest, topple over.
"teeter." YourDictionary, n.d. Web. 17 May 2018. <http://thesaurus.yourdictionary.com/teeter>.
teeter. (n.d.). Retrieved May 17th, 2018, from http://thesaurus.yourdictionary.com/teeter
To walk unsteadily:
To move back and forth or from side to side, as if about to fall: