iPhone 5 Rear-Facing Camera Replacement
I also completed the repair without removing the battery. I used tape to hold back the power connector and frosted plastic tab while doing the delicate work.
Fantastic guide. My best advice is to take your time. By far the hardest part is seating the LED flash....keep the "old" camera assembly close for reference, especially being sure to fold the ribbon cable to the flash under the retaining plate.