tatter

Etymology 1

Apparently a back-formation from tattered.

noun

1. A shred of torn cloth; an individual item of torn and ragged clothing.
   You can’t – you shan’t – you don’t – you won’t – you thing of rag and tatter, O! 1896, “Well You're a Pretty Kind of Fellow”, William S. Gilbert (lyrics), Sir Arthur Sullivan (music)

verb

1. (transitive) To destroy an article of clothing etc. by shredding.
2. (intransitive) To fall into tatters.

Etymology 2

tat + -er

noun

1. A person engaged in tatting.