Can´t get 8-bit shift register working (CD4014BE)
Your LED is connected to an input. It needs to be connected to an output to work. 

All the Px pins are inputs and should be connected to 0V or 5V. You can take outputs from pins 2, 12 or 3. Your LED should have a series resistor of a few hundred ohms, but this chip is wimpy enough it won't likely hurt anything.