Will the insulation contaminate the rest of my house?
It is possible that insulation can fall through cracks in the ceiling, walls, or around light fixtures to contaminate the house.
You can reduce the chances of this happening by sealing cracks or holes that insulation could fall through. In addition, some air ventilation systems may disturb the insulation.
If you think that fibers are getting into your living space, then you may want to hire an accredited asbestos inspector to perform air monitoring for asbestos fibers.
Courtesy of The ATSDR
NY asbestos lawyers: Realtor to sell house with asbestos?