You, like most Americans, probably plan to run for president. You have plenty of time, theoretically; the general election is still 22 months away and even if you plan to seek the nomination of one of the major parties, those don't kick off until January.
Rearing is a common measure of activity and exploratory behavior used in the open field and sometimes in certain mazes. Nothing else. But I agree it could be related to very specific behaviors. I like the idea of escape.
1. Extending unchecked; unrestrained: a rampant growth of weeds in the neglected yard. 2. Occurring without restraint and frequently, widely, or menacingly; rife: a rampant epidemic; rampant corruption in city government. 3. a. Rearing on the hind legs. b. Heraldry Rearing on the left hind leg with the forelegs elevated, the right above the left, and usually with the head in profile. 4. Architecture Springing from a support or an abutment that is higher at one side than at the other: a rampant arch.