I had that EXACT surgery 8 weeks ago. I was in a sling for 6 weeks, but figured out how I could knit with only my left arm (I'm a leftie, but knit righty) about a week after surgery.
Labrum tears are VERY hard to diagnose even with an MRI. The radiologist read my MRI as having a tear, but the surgeon looked at it and wasn't so sure. Low and behold, I had a big old tear when they finally went in with the scope. I had put off surgery for about 8 weeks to give a cortisone shot a try, and I wish I hadn't. I suffered for that whole time.
My doctor said I could drive when I was safe and off pain meds, so for about 4 weeks I didn't drive at all, and for the last 2 weeks I was in the sling I just drove a small amount in our very small town (1-2 miles).
I've been out of the sling for 2 weeks now, and I'm still in intensive PT and will be for a few more months, probably. I still don't have all my mobility back but that will take time. The pain I am having now is nothing compared to the chronic pain I had been in for a long time. I put off the surgery for 8 weeks to give the corsione shot a try, and I wish I hadn't.