Asbestos itself is known to be a very dangerous substance. Lots of care and caution should be taken when dealing with any type of infrastructure that utilizes asbestos.
Any sewer pipe or conduit infrastructure that is prone to extreme temperatures may have utilized asbestos for its flame retardant capabilities.
Dig & Replace Method
If you decide to use the dig and replace method, some of the proper procedures will include breathing masks, proper closure of the area, and disposal procedures.
How to Reduce Risk of Exposure to Asbestos
In order to reduce the risk of exposure you may want to consider repairing the pipe by installing a CIPP liner.