Formal:
* Script: This is a general term for any style of writing that is not print.
* Handwriting: This is a broader term for any writing done by hand.
Informal:
* Flowing: This emphasizes the connectedness of cursive letters.
* Running: This also highlights the continuous nature of cursive writing.
* Slanting: This focuses on the angled nature of cursive letters.
The best synonym to use will depend on the specific context and the desired level of formality.