Verify that the test was performed by approved methods. The testing is usually a few hundred dollars when done by approved methods. Other methods may not be reliable. Treatment at the point of use can be performed by filtration of the water. Filters with an absolute pore size of 0.45 microns or lower are usually better than standard paper filters.
Reverse osmosis is also effective.
When the source of the asbestos is asbestos-concrete pipe, corrosion control is usually the best means of controlling asbestos. Suburban Water Testing Labs, Inc.