Some of the asbestos tape on our heating ducts is loose. Our furnace repairman suggested that we paint the tape to keep it intact.
duct work is 40/50 years old. loose only in a few places
Do not touch the asbestos without contacting a certified contractor. You may be able to leave it alone. If you remove any of it you must remove it all.
For more information:
Read "Due to the discovery of asbestos, I am removing and replacing all ducting in my attic." a Q&A answered by Polly Osborne.