Since my phone died, my jogging outings have been sans audio distraction. Hasn't been as problematic as I'd expected.
Having something to listen to has always seemed like a requirement for exercise. Figured that I'd get too focused on being tired/sore/etc if I didn't have something to distract me. But it turns out that as long as I'm constantly busy, it doesn't bother me to be without something else to focus on. I think I'd have a bit more trouble if I was doing weight training or something else that requires downtime as part of the process. For the constant effort of jogging, though, I find that I do all right with the silence.
The thing I miss most about not having the phone while running isn't the audio, but the distance and time tracking. I've been trying to go about 10k on each outing, and I know it takes me around an hour. It's easy to lose track of your pace with no guide, though. I know more or less what routes to take, so I'm still somewhere in the neighborhood on distance. Time is harder to gauge, though I have some idea based on my pace. I'm certainly looking forward to having a GPS-capable device again for more accurate tracking.
I suspect things will be different when the weather turns colder, and I have to resort to running on the treadmill in the exercise room. Then I will definitely need something to listen to. I certainly plan to have the phone issue resolved before then, though.