The root ᴱ√TUAKK appeared in the Qenya Lexicon of the 1910s as the basis for ᴱQ. tuakka “axe” (QL/95). The majority of axe words from this period seem to be derived from an unattested root *ᴱ√PELEK, including ᴱQ. pelekko/G. peleg “axe” and ᴱQ. pelekta-/G. pelectha- “hew” (QL/73; GL/64). ᴱ√PELEK thus formed a more comprehensive paradigm than ᴱ√TUAKK, and may have been an extension of ᴱ√PELE² “*revolve” referring to the pivoting motion of swinging an axe. Hints of ᴱ√PELEK can still be seen in ᴱN. peleg “axe” from Early Noldorin Word-lists from the 1920s (PE13/152). In later writings, Tolkien used S. hathol for “axe”. However, I think it is worth positing a Neo-Root ᴺ√PELEK to salvage the Early Qenya words.