Many five-year-olds, given a pair of compasses, will use it to stab their neighbour. But the better-behaved ones should be able to manage this:

Draw a circle.
Centre a point on its circumference, same radius, draw an arc within the circle, running from circumference to circumference.
Centre a point where this arc meets the circle, same radius, draw another such arc.
Repeat.
By magic, after six arcs, you end up where you started.