My Mom and Dad lived thru the Great Depression and like many have discussed here, he never threw away anything, even if it was broken. We lived on what we grew and bought very little groceries in the store other than coffee and sugar. I inherited a bit of their frugality in that I try to fix anything that breaks prior to just buying a new one. I dont buy stuff just to be buying or just because the neighbor has one. I dont buy Snap-on tools for something that I use just occasionally when Harbor Freight wrenches do the job just as well (is that cheap or frugal).
I just gave my daughter my 2003 car with only 110K on the meter and in great shape that we were still driving while a 2013 model sat in the garage with less than 10K on the odometer. My truck is a 2007 and no plans to buy anything new. Driving a car for more than a decade, is that cheap or frugal.
I save most of my scrap lumber and all my scrap metal and often find what I need for a project in my scrap pile. I do finally throw away the smallest of small pieces though.
When I go out to eat, I order what ever I want without considering the price. Food is one thing that I dont scrimp on quality or quantity. Why gnaw on a tough cut of meat when rib eye is just a few bucks more. I doubt that is either cheap or frugal, but we need to live a little. I buy what I want when I want it and pay cash when I do and I think I am being frugal. I dont owe anything on my cars, house or toys and the reason why is because I have been a bit frugal for my lifetime.
I tip generously when I eat out because I realize the young wait staff is likely living on minimum wage so they have to be cheap and they are likely deep in credit card debt because their parents gave them everything they wanted while growing up and didn't teach them to be frugal. I do feel a bit sorry for all the young folks growing up now with the "I want it all and I want it now" attitudes and dont save anything for their future.