running hand vs cursive script

running hand and cursive script both are nouns.

Word	Noun	Adjective	Verb	Adverb
running hand	Yes	No	No	No
cursive script	Yes	No	No	No

As nouns, running hand and cursive script are synonyms defined as:

running hand and cursive script: rapid handwriting in which letters are set down in full and are cursively connected within words without lifting the writing implement from the paper

Other synonyms of running hand include cursive, longhand.

running hand (noun)	cursive script (noun)
rapid handwriting in which letters are set down in full and are cursively connected within words without lifting the writing implement from the paper	rapid handwriting in which letters are set down in full and are cursively connected within words without lifting the writing implement from the paper