Which side should I connect the resistor on? I understand that when connecting an LED and a resistor in series; the resistor can be placed on any side of the LED as the current will remain same in a series connection. Please correct me if I'm wrong, but I was under the impression that conventionally the electrons flow from positive to negative. So shouldn't the resistor be placed before an LED to limit the flow of charge. 

In this scenario the negative is connected ground and the positive to a power source. So I don't understand the chain Link analogy as well. Where the whole chain moves as a whole because here the flow ends with the GND right ?
Resistor on any side of led will intercept current flow.
Just use another analogy with water, tube and water tap.