If it were me, I would massively err on the side of caution. My advice is based on my current job being research aimed at future healing of rotator cuff injuries using stem cells.
Rotator cuff injury is notoriously slow to heal, and carries a poor success rate. This is partly due to the anatomy, and the nature of the injury, but I suspect it is also, in part, due to people doing slightly too much, too soon, which must be very easy to do, because it would be easy to think that doing some things with your hands or wrists would not affect your shoulder, whereas there is a high degree of inter-connectedness (thats the scientific term for it, btw 
). In the first few months, post surgery, I would not do ANYTHING that results in ANY degree of pain in your shoulder. This might seem like a total exaggeration, but if you create even a tiny tear in the recently repaired tendon sheath, it will not heal, and you will enter a chronic cycle of pain, inflammation, rehab. It is in your best interest to allow it to totally heal, even if that means going a bit crazy for a few months as you cant run. I think avoiding future pain in that shoulder in the future is well worth it though.
But that's just me.
