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While I have been guilty of standing outside and observing twisters, I don't recommend such foolishness. As Forrest said, Stupid is as Stupid does.

I grew up in (or at least spent my childhood in) Oklahoma County, Oklahoma, listed as number four. Tornadoes are very localized storms. I feel more for those who live in hurricane areas. Those storms are wide spread and very damaging.
Tornadoes generally will only move across the ground at 25 - 30 miles per hour. So long as one has good visibility and a place to retreat there is nothing particularly foolish about watching their movement. Watching in the dead of a dark night might not be well advised.