Why don't we get electrocuted when touching a pot sitting on an induction cooker
The induced current in the pot (pan), is on the bottom of the pot where you are not likely to touch.  In fact you would have to lift the pot in order to touch where the current is being induced.  

By lifting the pan up and away from the induction coil, you will reduce the induced current in the pan (and reduced voltage, which is low already). 

Very very little current would be induced in the side of the pot (where you can easily touch).   

Comments made above correctly state that the induced voltage is low and that induced current is high (all relative of course).  


  "First, yes, there's a current, but is there a potential difference between any points"


You could measure a potential difference (voltage) by measuring on the bottom of the pot between two points that are on opposite sides of the pot bottom. The voltage will be very low (not going to address the value of voltage here).  

Thus, if you were to able to touch the bottom of the pan in 2 places (difficult to do with pan sitting on induction heater), on opposite sides , you might get a mild shock.   

And last, 


  "which in turn generates a DC current in the pot sitting on the cooker"  


Just to set the record straight, AC is generated (induced) in the pot, Not DC