That depends on your definition of quiet.
It's certainly not an amp you'd play with someone sleeping in the next room, or an amp that you'd be comfortable playing after 9 at night but it certainly can be played at a volume that can be heard by others without being being annoying or disruptive.
Both of the following were recorded with my Dyne at fairly low levels (Please forgive the sloppy playing and recording techniques) While I did use a tubescreamer and echo occasionally most of what you're hearing is just pure Dyne, generally double tracked so the vintage low/hi are panned opposite sides. No post recorded FX were added and the only additional EQing was just to cut some of the bottom off.
Anyway, it's fairly accurate, although imagine a little less lower mid range and a more pronounced top end.
http://soundclick.com/share.cfm?id=11025175
http://soundclick.com/share.cfm?id=10932615