I've been a daily runner since August of last year, so I run every day. Now, some days it's slow, and only a couple of miles, but I have always managed to lace up and hit the treadmill, the road or the trail.
With that said - unless you have a pretty substantial base, I'd stick to three or four runs per week, and maybe some cross-training on the off days, if you really feel the need to exercise. Too much, too soon is a formula for injury.