The risk is low period. There have been studies of the indigenous fauna in the area, which have had many generations of breeding, and there has been found only slightly elevated genetic mutation rates, and orders of magnitude less mutations than predicted. As far as we can tell, as long as you aren't rolling around in areas directly contaminated by the core ( nearby the plant itself ) or in areas that are sheltered, lower leveled, and allowed to build up debris and a radio-isotope pool the risk is nearly identical to living next to a pesticide / chemical plant.
Radiation and radiation damage are still poorly understood, there are some arguments that low dose radiation is actually beneficial. In some areas of the world the background radiation is higher than the NRC Total Yearly Dose limits, and the people there have lower incidences of cancer and other illnesses compared to other areas with lower "safe" background doses.
Those people are poor and desperate, and the danger isn't visible to them. It's sad that they are even allowed to live and farm there, instead of being helped to build a life somewhere safer. Stunts like feeding journalists unsafe food just encourage more people to do it.
Most of the people that are still in the exclusion zone are the ones that refused to leave. They had been offered help to move and rebuild, but refused due to loyalty to the area / my family always lived here / this is MY land and I'm not leaving damnit, and ETC. Some of them HAD been forced to leave, they came back and the government just gave up on moving them again.