The word "indecipherable" describes a group of symbols that are plainly writing but whose meaning cannot be determined, deciphered, decrypted, or translated. For handwriting, the adjective is "illegible" (e.g. scrawled).
Another word used to describe meaningless data, of any form, is incomprehensible. The communication (including writing) that is meaningless can be called nonsense or gibberish.
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Illegible means not clear enough to be read. An example sentence: His handwriting is totally illegible.
One art involved with handwriting is called calligraphy.
The word for not able to be read is illegible. The word for not making any sense is incomprehensible.
The word you're looking for is "penmanship." It refers to the skill or art of writing by hand, emphasizing the quality and style of one's handwriting.
One who practices the art of fine handwriting is called a
Illiterate.