I would say it depends on what it is and how much of a discount you get. For example, a regional electronics store where I live puts refurbished hardware up for, if you're lucky, $10 off. Usually more like $5. We're talking items that can cost $200 or more. Well, for such things just give me the new one and I'll pay the extra couple bucks.
On the other hand, if it's, say, a car part that works well and the discount is considerably substantial, I'll probably go with that.