When debugging in chrome, the scripts are always paused in the debugger even if there are no break points set, and if the the pause is un-paused, it again pauses itself.
Its really a bad experience. if the above answer didn't work for you try this.
Click on the Settings icon and then click on the Restore defaults and reload button.
Press 'F8' until its became normal.
Happy coding!!
Yep. I'm just learning chrome dev tools today, and found the same thing -- if the above fails, expand the area pictured here and look for breakpoints you may have set and forgotten.
At the right upper corner second last icon (encircled red in attached image) is for activate/deactivate debugging. Click it to toggle debugging anytime.
Chrome Debug console
You can press CTLR+F8 to activate or deactivate breackpoints.
This is the short solution.