I'd hardly call comped rooms "saving money".

Strip chains, off the top of my head:

Casino Royale (mid-Strip) has a Denny's and an Outback.

Rainforest Cafe at MGM.

PF Chang's at Planet Hollywood.

Cheesecake Factory at the Forum Shops / Caesars.

California Pizza Kitchen at Mirage, also Fashion Show.

Fashion Show has a ton of other chain restaurants like Capital Grille and Maggiano's - check the directory.

Of course, I think you're wasting your time if you're coming to Vegas and trying to save money on eats by going to chains. Much better off enjoying the high quality of restaurants available, or going to non-chain places to save money (Ellis Island, anyone?).