Roleset teeter.01 Verbnet Class: 1 "stand unsteadily":

Roles:

Arg1:thing teetering

Examples:

person: ns tense: ns aspect: progressive voice: active form: ns


usually with LOC (-)
But for an ailing savings-and-loan association -- teetering on insolvency -- it can lead to safety from imminent demise and to a future full of promise.
Arg1:	an ailing savings-and-loan association
REL:	teetering
ArgM-LOC:	on insolvency

LOC should maybe be promoted to a real argument.