hmmm
I don't know although ATI graphics chips aren't supported in Trisquel. They
are dependant on non-free firmware. What happens I believe (it's been a long
long time since I've touched a system with ATI graphics) is the system
defaults to the VESA driver which is a very basic generic driver. There is no
2d or 3d acceleration present. I wouldn't necessarily expect flickering with
it. The problem may be elsewhere.
Are you using an older CRT monitor? That is it's not ultra thin like most
monitors sold in the past several years. It's a fatter older monitor (maybe
10+ years). If so there may be some refresh rate configuration component you
can look into changing. I completely forget the details of this. The actual
file is xorg.conf although this isn't generated any more. You can force it...
if you can find the directions on how to do it. All I can say is it is a pain
to do ever since auto-configuration became the standard.