This tool was also spelled tu/xos (Hesychius tau1763, cf. LSJ, web address 1; the name was also used for a stone-breaking wedge), and is probably from the same root as teu/xw, te/tuktai, etc. (tau 375, tau 435, tau 1149, cf. tu/xh, tau 1232-34). If that is true, it is compelling evidence that this root was used in Greek before Homer's day for the accuracy required in a craftsman for hitting and shaping stone, leather and metal. It would be closely related to Homer's name Tychios for a craftsman making a shield of leather (Iliad 7.220, tau 1238).
For the character and shape of this tool see omicron 647 (o)/ruc) and the notes on Pollux 10.147 cited in bibliography.
[1] Aristophanes, Birds 1138 (web address 2), in the description of building the birds' city. The stones worked by the birds in question (water-rails? See next note) had been brought from Africa by the cranes.
[2] Evidently a large and powerful species of bird but unidentifiable. See the discussion in Dunbar ad loc. (p.598).