The phrase "in a swivet" is an old-fashioned expression that refers to being agitated, anxious or upset. There are a number of synonyms that can be used in lieu of this expression, including being in a panic, in a tizzy, in a flutter, or in a frenzy. Other synonyms might include feeling frazzled, worked up, stressed out, or on edge. No matter which word or phrase is used, all of these synonyms convey the same essential meaning, which is that a person is feeling highly emotional and out of sorts, as if their entire world is in a state of disarray and chaos.