If "chamber" refers to a room:
* Open space
* Hallway
* Exterior
* Outdoors
If "chamber" refers to a confined space:
* Vastness
* Expanse
* Openness
If "chamber" refers to a part of a device:
* Exterior
* Outer part
* Open area
If "chamber" refers to a legislative body:
* People
* Citizens
* Public
Ultimately, the best antonym will depend on the specific context in which you are using the word "chamber".