A verb for “find”, most notably appearing in the phrase utuvienyes “I have found it” when Aragorn found the White Tree of Gondor (LotR/971). It also has the sense “discover”, as in túvima “discoverable” (PE22/155).
Conceptual Development: In the sense “find”, ᴹQ. tuv- first appeared in the Quenya Verbal System (QVS) from 1948 (PE22/101, 107), though it was (briefly) replaced by ᴹQ. kim- (PE22/108 note #50, PE22/125). In Tolkien’s earlier writings, ᴱQ. tuvu- meant “receive, take”, dating back to the Qenya Lexicon of the 1910s (QL/96) and appearing as ᴹQ. tuvo “take” in the late 1940s as well (PE23/92). Conversely, the Early Quenya verb for “find” was ᴱQ. tuku-, appearing with the glosses “go in search of, look for, fetch” in the Qenya Lexicon of the 1910s under the early root ᴱ√TUKU (QL/95) and appearing in a few other places as well (PE15/32; VT40/8).
Neo-Quenya: For purposes of Neo-Quenya, I would mainly use tuv- in the sense “find something new = discover”, as opposed to hir- = “find something previously lost”.
utúvienyes, see *tuv-