Be very careful when taking cuttings from that plant. The sap inside (a white liquid under pressure which squirts out when stems are broken) can be a severe irritant, especially when your skin is broken. The result of exposure is 2-3 weeks of hideous painful rashes, a memorable experience.
So wear gloves and eye protection, let cuttings heal over well before handling them, and just generally keep a safe distance from the action. E. tirucalli is on the dangerous side for a Euphorbia, even though it is quite common. One trick you can use with fresh cuttings is to swirl the cut end in cold water... that seems to put a quick end to the oozing.