How Does Kirchoff's Law Make Sense
Yes, a resistor will slow down the rate of current flow (for a given potential).  But that will cause a "traffic backup" which will also slow the rate of current flow into or out of any junction feeding that resistor to that same slow rate. Basically, in steady state, electrons can't "bunch up", because the increased charge concentration will repel them away from the traffic jam location.  

And electrons don't "fly away" due to heating unless the resistor is an emitter, such as the heated filament in a vacuum tube, with an attractive charged anode nearby.