Look up rotator cuff exercises and you will see lots of exercises to keep your rotator cuff healthy. My brother recently had a rotator cuff injury and he hasn't been able to press for over a month now. It's a really troublesome injury, prevention is the key.
Bumping this thread because I think it's important, rotator cuff injuries are very serious and common. You need to be using very light weights and very high reps, 20-30 rep range. Resistance bands are excellent for rotator cuff injury recovery.
My mom had a rotator cuff injury and I remember she used bands and light weights. I am sorry to say, she told me she never got her full strength back in that shoulder. She was older when she injured her rotator cuff, in her early 50's. They didn't think she was a good candidate for surgery, but this was in the late 80's, so I am sure the technology is better now.
You need to work on stabilising the joint, not doing loads of repetitions with bands and lightweights because this actually makes the joint less stable. The Turkish get up is an example of a stabilising exercise for the rotator cuff.