Well, sorta...
PREFACE: I'm 6'3" tall, about 205, probably 12% or so body fat... and 50 years old. Speed has never been my forte, in fact, my grandfather said I ran like a dry creek when I was a kid.

I used to run regularly but quit when I was about 44 because I thought I needed to preserve my knees (also played basketball 3-4x/wk which was the real problem). I started back at it last year and have only been doing it hit and miss since... not extremely regular or programmed.
TODAY: I ran on the indoor 1/8 mile track. My intent is to improve my pace for a 1 mile run. I have no interest in plodding along for miles and miles again. I stretched and then jogged my first lap to get warmed up. There's a clock over the track so, as I passed under it, I checked the time and ran the second one at a sub-8-min-mile pace. The next one, I slowed down and then, when I reached the clock again, I picked it up again. I did this for 17 laps (last one to warm down). It's kind of an interval training approach which is good in general but, like I said, I also want to improve my pace.
In the end, I did a mile in under 8 minutes

but it just wasn't continuous. I have used a similar approach on the outside track but haven't ever tried it where I have the clock there to verify my pace until today.
I'm hoping that, by using this approach, I can work up to a 8 minute mile and then start working on two miles at that pace. I have been lifting four days a week and play racquetball on one so I'm giving up one day of weights to work on this.
What do you think of this approach? I'm afraid that I'm not spending enough time running to make improvements very fast but I don't want to drop any more days of lifting. The only option I see is to keep doing what I can, when I can, but I think I'll only have one day a week on the track.
Sometimes, not always, I do have enough energy left to jog in the evening around the neighborhood. However, after a good day in the weight room during lunch (esp squat days), I'm sometimes too spent to accomplish much. Other things have recently made it pretty tough to squeeze it in even on the good days.
Any thoughts on this? Stay with this approach or just do the mile run and gradually improve my time? This holds my interest a lot more than plodding along and hoping for the best.