The Collaborative International Dictionary of English v.0.48:

Tatter \Tat"ter\, n.
   One who makes tatting. --Caulfield & S. (Doct. of
   Needlework).
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Tatter \Tat"ter\, n. [Icel. t["o]tur, t["o]ttur, pl. t["o]trar,
   ?["o]ttrar; cf. Norw. totra, pl. totror, LG. taltern tatters.
   [root]240.]
   A rag, or a part torn and hanging; -- chiefly used in the
   plural.
   [1913 Webster]

         Tear a passion to tatters, to very rags. --Shak.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Tatter \Tat"ter\, v. t. [p. p. Tattered.]
   To rend or tear into rags; -- used chiefly in the past
   participle as an adjective.
   [1913 Webster]

         Where waved the tattered ensigns of Ragfair. --Pope.
   [1913 Webster]

WordNet (r) 3.0 (2006):

tatter
    n 1: a small piece of cloth or paper [syn: rag, shred,
         tag, tag end, tatter]

Moby Thesaurus II by Grady Ward, 1.0:

80 Moby Thesaurus words for "tatter":
   ablate, abrade, barrel, beeline, bit, bits, bullet, butt, chip,
   chunk, clip, clipping, collop, crumb, cut, cutting, destroyed,
   dollop, end, erode, fly, fragment, fray, frazzle, fret, gob,
   gobbet, haste, hasten, highball, hunk, in disarray, in ruins,
   in shreds, in tatters, lump, modicum, moiety, morceau, morsel, nip,
   paring, particle, patch, piece, pieces, rags, rasher, rocket,
   rub off, ruined, scoop, scrap, scraps, shard, shattered, shaving,
   shiver, shred, shreds, slice, sliver, smithereen, snack, snatch,
   snick, snip, snippet, splinter, stitch, stump, tag, tatters, wear,
   wear away, wear down, wear off, wear out, wear ragged, weather