Mri says torn labrum of shoulder can this pain come and go or will it hurt all the time?

Depends. It depends on which part of the labrum is affected and your activity level. Most labral tears are degenerative and causes intermittent pain. If you do a lot of overhead activity, such as a throwing athlete, then you can have more pain and may require surgery. Either way, you should have your orthopedist or sport medicine specialist help you determine your best treatment option.
Labrum. It may not hurt all the time, sometimes just with particular movements.