Yes, in general, any shot that has "blinkies" in it should probably be discarded.
I have used a few shots that way, but it was because I knew that I had the center subject well exposed, and I knew that I was going to crop off the outer edges where the blinkies were.
You should not have to take eight shots in order to get one good one.
First of all, you have to train your eye to be able to estimate when that is going to happen. If you have an extremely wide dynamic range of light within one frame, it might happen. This is expecially true if you have a bright sky overhead and a dark foreground subject.
One option is to crank down the overall exposure, and this gets the bright stuff toned down, but it also darkens the subject. This may produce a very dark subject.
One option is to use a graduated neutral density filter. This will darken half of the frame and leave the other half untouched. This works well when there is a nice straight horizon line between light and dark.
One option is to change the composition so that you don't have that extreme range of lights and darks.
---Bob Gross---