Viscose jersey with lycra can be a horror, but they are all different. Some materials are firmer, with a denser knit, it's much easier to handle. It's hard to generalise. Most have been mentioned already.
Others are much more experienced than me, but difficult jersey can act up.
I have had the needle and thread tear through the fabric as it stitches. I prefer more solid material, but the solution is the right machine, right needle (microtex or round tip) and matching needle size and thread to fabric.
Getting folds, joints and hems to stay in place might need carefull pinning or basting. If the material stretches as the machine sews, adjust presser bar tension.