When someone tells you to suck eggs it's basically just another way of saying buzz off or get lost.
They are basically saying to get away from them when they tell you to suck eggs.
Suck eggs is another polite way of saying F off
For example you ask a girl out for a date and the girl tells you to go suck eggs it means that she is not interested in dating you and is politely telling you to leave her alone.
I used to hear people in my school tell people to suck eggs but that was a long time ago and I haven't heard too many people today tell someone to suck eggs.
But I'm sure people still do use the term suck eggs to politely tell people to leave them alone.