Bases and rings are probably the smallest switchable part of the whole rig. I own and use both, and I'd suggest it's a few of ounces at best. If your current scope and rig shoot well I'm not sure it's worth the effort but that's me.
The Talleys work just fine and I've had no problems with them, especially if you take the time to line them up and bed them.
It's probably less expensive to change your brand/type of sling. If you want to decrease the perceived weight of your rifle look at the Ultraflex sling:
No, I have no connection to them, I'm just a very satisfied customer. I've been using their sling for several years and never touch any other sling anymore.
Good luck with your choice!