I know someone who lives on Pine and backs up to the cemetery but haven't talked to her in a while. She's never mentioned any problems living there. I'm not sure about that area as a whole, driven down a few of those streets. Lots of small homes.
Best thing you can do, see the link below, talk to neighbors and call the Grrrrrrr Police Dept and ask them. Better ask questions from those who would know the best!
RAIDS Online: Regional Analysis and Information Sharing
Looked myself and was surprised. Nothing right in that area that came up with a June 2014 til today search, but lots of stuff in the area. If you have small kids, make sure to check off to show the sex offenders that may be in that area. You can put in Greer, SC or Pine Street in Greer.