It would be hard to keep your hands far enough apart to do barbell chest presses with proper form. I think for most other uses, it wouldn't matter too much. I'm thinking here...
Squats, plie squats, dead lifts, dead rows, tricep barbell presses, ...hmmm, you might not have enough room for a shoulder press, but you might. Bicep curls, lunges, hmmm. It seems like all of those would be fine. Just the chest work.