We don't have synonyms for jump-rope yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are jump rope and jumps rope.
(n) :
Alternative spelling of jump rope. [(uncountable) (also jump-roping, jumping rope) The activity, game or exercise in which a person must jump, bounce or skip repeatedly while a length of rope is swung over and under, both ends held in the hands of the jumper, or alternately, held by two other participants.]
(n) :
Alternative spelling of jump rope. [(uncountable) (also jump-roping, jumping rope) The activity, game or exercise in which a person must jump, bounce or skip repeatedly while a length of rope is swung over and under, both ends held in the hands of the jumper, or alternately, held by two other participants.]