My sister had placenta previa (not sure partial or complete) at 20ish weeks, but by 32ish weeks it was resolved. She had a vaginal birth afterwards.
I think the pelvic rest was no fun since it was her first baby and she was still living life like a Regular Married Person. Other than that little disappointment - "wait, how many weeks of no... whaaaat?!" - I don't think she suffered for it. Hope yours resolves just as easily! Good luck!