The Quarrier is part of the resource production of your colony. The Quarrier will dig a quarry pit to collect larger amounts of stone type blocks.
The Quarrier will only break blocks according to the level of their pickaxe, and will only be able to use a tool according to the level of their Miner’s hut (check the worker system page).
The Quarrier’s Strength level affects their block breaking speed. Similarly, their Stamina skill affects their block placing speed, so if they have a higher Stamina skill they’ll place supports and other blocks faster.