The game is Black The Fall. A title like Limbo or Inside. Side-scroller puzzle game with no dialogue. Only many traps and many deaths. 

The Achievement is appropriately titled “work yourself to death”. At the start of the game you have to jump (press and hold “X”) on the bicycle that opens the door to reach to the next area. Instead of advancing, just ride the bike. Forever. 

No problem. 

-iRogan