The only way to get better at skipping rope is to skip more. There are so many different exercises you can do while skipping rope, and they all work on different athletic traits -- endurance, balance, rhythm (essential for counterpunching), coordination. . . it goes on and on.
Tricks I've learned in eight months of skipping rope:
cross over (each hand -- learn right over left, & left over right)
double under (jump high!)
skip while in a squat
skip while in my stance
one-legged / switching legs
running in place
jumping side to side in my stance
moving forward, backwards, sideways (either running, jumping, or hopping in my stance)
backwards skipping; i.e., rope moving from in front of me to behind me
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