Tolkien used this root and ones like it for sprouting things for much of his life. Its earliest appearance was unglossed ᴱ√TUẎU in the Qenya Lexicon of the 1910s, where the Ẏ probably represents an ancient palatal spirant [ʝ] or [ç], with derivatives like ᴱQ. tuile “spring, (lit.) a budding” and ᴱQ. tuita- “to bud, burst, burgeon, grow” (QL/96). It also had derivatives in the contemporaneous Gnomish Lexicon such as G. tuil “spring” and G. tuitha- “sprout, spring, gush” (GL/71). In The Etymologies of the 1930s Tolkien gave the root as ᴹ√TUY “sprout, spring” with derivatives like ᴹQ. tuia-/N. tuia- “sprout, spring” and ᴹQ. tuile “spring-time” (Ety/TUY). The root reappeared several times in Tolkien’s later writings with glosses like “sprout” (PE19/54) and “sprout, bud” (VT39/7).
Primitive elvish
tup
root. cover over, hide
tuy
root. sprout, bud
This root had to do with covering things for much of Tolkien’s life. The first appearance of the root was unglossed ᴱ√TUPU in the Qenya Lexicon of the 1910s with derivatives like ᴱQ. tumpo “shed, barn” and ᴱQ. tupu- “roof, put lid on, put hat on, cover” (QL/95). Tolkien said this root was “much as TELE”, which in this document was glossed “cover in” (QL/90). The root ᴱ√TUPU also had derivatives in the contemporaneous Gnomish Lexicon such as G. tub- “cover” and G. tump “a shed” (GL/71).
In The Etymologies of the 1930s the root ᴹ√TUP was given as a variant of ᴹ√TOP “cover, roof” with derivatives like ᴹQ. tupse/N. taus “thatch” (Ety/TUP; EtyAC/TOP). In Tolkien’s later writings its most notable derivative was Q. untup- “cover (over)” as in Q. ar hísië __untúpa__ Calaciryo míri oialë “and mist covers the jewels of Calacirya forever” (PE17/73; LotR/377). The root √TUP “cover over” itself was mentioned a couple times in Tolkien’s later writings (PE17/73). In one place of those places it was given as √TUI “cover over, hide”, but since in that note it was the basis for primitive ✶Utupnu, this √TUI is clearly a malformed ✱√TUP (MR/69).