the scenario you are providing. was the runner ruled out by the umpire when he/she was tagged by the defensive player? if so, the runner is out.
the next possibility is the runner was ruled safe by the umpire. if the defensive player gave the ball to the pitcher while the pitcher is in the circle, if the runner had stopped at second base, the runner cannot start to run until after the pitcher releases the ball on the next pitch. if the runner starts running prior to that, the runner is out.
if i did not get the situation correct, please ask provide additional information. 