Hi! This is a great area and changing a lot right now - they are putting in a big urban center and I see Greenwood as being a good 3-5 year investment.
Here is a good crime map from the city:
I would make sure to pay more attention to housing that was built in the bog area of Greenwood - this would be the greater concern to me rather than the relatively low crime in the area. There is a major portion around downtown Greenwood that was built over a bog and it has been drying up in places as of late - creating some sinking problems in some cases.
I recently sold a really nice place in Greenwood - I also lived there for a little while - I love all that is going on in the area! Good luck!