What is special about an Eternity Ring?

Eternity Ring is bling all the way! An Eternity Ring is also called and Infinity Ring. Our version of this is that it never stops to twinkle, it's catching your eye with every wave of the hand and even when the ring turns around the finger it will keep on scintillating. 

The more traditional explanation is that the infinity ring shows continuous love and a strong relationship. It is usually given as a gift for a special anniversary.

it can be worn on the left-hand ring finger together with the engagement ring and the wedding band. 

I have seen some that buy an eternity ring as a wedding band. 

Therefore, like anything else - feel free to do as you please and you do not have to follow the flow!