For construction:
* Brick clamp: Used to hold bricks securely during laying.
* Brick tongs: Used for lifting and moving bricks.
* Brick trowel: Used to spread mortar and position bricks.
* Brick hammer: Used for breaking bricks and tapping them into place.
For other purposes:
* Brick storage rack: A shelf or rack specifically designed for storing bricks.
* Brick display shelf: A shelf or stand used to showcase bricks.
* Brick mold: Used to create custom-shaped bricks.
General terms:
* Brick support: Used to support bricks during construction or storage.
* Brick holder: A general term for any device used to hold bricks.
Ultimately, the best term to use will depend on the specific application.