Kathleen,
What kind of pump/motor do you currently have??
I think that you will find that most of us that run 24/7 do so because we have VS pumps that are running at low RPMs. This allows those of us with saltwater pools, to make a little chlorine all the time and to skim all the time.
Logic says this should shorten the life of the pump, but the unanswered question is by how much? I tend to agree with fb above, that it will not be by much. I currently have three IntelliFlo pumps that have been running 24/7, most of the time at 1200 RPM. One is over 9 years old, one over 7 years old and one about 6 years old. So far, so good.. no issues at all.. Not sure if they will all die at 10 years, 12 years, 15 or 20 years, guess I'll just have to wait and see..
Thanks,
Jim R.