tottering

adjective

1. Not physically steady or firm: precarious, rickety, shaky, tottery, unstable, unsteady, wobbly. See flexible/rigid.
2. Lacking stability: infirm, insecure, precarious, shaky, tottery, unstable, unsteady, unsure, weak, wobbly. See change/persist, strong/weak.

The adjective has 2 meanings:

Meaning #1: unsteady in gait as from infirmity or old age
  Synonym: tottery

Meaning #2: (of structures or institutions) having lost stability; failing or on the point of collapse