Is fiberglass safe?

Hi everyone!
I'm in the process of building a dedicated listening room. Design is done by Rives Audio. I've reached the point where LF traps need be filled with fiberglass. Thing is I became kind of concerned by reading contradictory opinions on weather fiberglass is safe or not. LF trap walls are to be covered with fiberglass and closed by a panel of fiberglass covered with Guilford-of-Maine fabric.
I shall contact Richard from Rives Audio too on the issue but thought of getting a second opinion. Any feedback more than welcome.
Cheers!