Depends on how bad the tear is. I've had 3 separate shoulder surgeries due to labral tears. Each time, the tear was worse. The last time, (18 months ago) I pulled my arm out of socket, tore my bicep tendon a basically tore my labrum in two. They ended up having to do a lot of work to fix me back up. 6 months later, l was able to go on a fly in Caribou hunt in Alaska. It's a good thing it was a rifle hunt, as I couldn't have used my bow.
Each time, I've been able to rehab, including doing a lot of weight training. I've regained my strength and can now shoot my bow at 70 lbs, etc., but I'm definitely not the same as before the injuries. The main thing is that it seems much easier to injure yourself each time. As a matter of fact, I believe that I've tore my labrum a little bit again.