It's easier than it looks
Make sure you select the right rope length, I'm 6'0"+ and was using a 9' rope for the first 2 weeks, I thought I sucked....friend told me to buy a 10' rope, I could jump for 15 mins straight without stopping the first time.
You have to make sure you lift your feet just enough to let the rope pass and your elbows should be close to your body and your hands like a swivel/ball bearings.....it should be comfortable and relaxing, yet working out of course.
The most common mistakes newbies make and I did all of them are this:
-Selecting the wrong size rope
-lifting your feet too high off the ground(bending the knees to jump)
-Elbows too far away from the body
-doing the same basic jump which will lead to failure
You have to alternate jumps, do a one foot jump for 20 jumps, switch foots, jump forward, jump backwards going back to your original position, sideways, crossing hands, if you do the same basic jump, even with perfect form, you'll tire and make a mistake sooner than later, variety is key here.