How do you feel about a game with no weapons or armor?

Would you play a game with no combat items? There would still be items to bolster social interactions, stealth, and other out-of-combat activities.

Would this impede your sense of advancement, or are character feats and non-combat items enough?

I am working on a game with a magic system for combat. It is already complex enough that I prefer not to have combat items. Any thoughts would be much appreciated.