A word for “liveliness” in the Gnomish Lexicon of the 1910s with variants cuilogri and [cuilo]gwi, both noun forms of G. cuilog “lively” (GL/27).
Gnomish
cuil
noun. life, lifetime
cuilbrindi
feminine name. Cuilbrindi
cuilog
adjective. alive, lively
cuilogri
noun. liveliness
cuilwarthon
place name. Dead That Live Again
cuilborn
noun. lifetime
cuilin
adjective. golden
cuilogwi
noun. liveliness
cuib
adjective. alive
culwin
adjective. golden
A word appearing as G. cuilog “alive, lively” in the Gnomish Lexicon of the 1910s, an adjectival form of G. cuil “life” (GL/27). Tolkien specified that this word was “usually metaph[oric]”, so probably “lively” was a better translation than “alive”.
Neo-Sindarin: For purposes of Neo-Sindarin, I’d update this word to ᴺS. cuileb “lively” using the later adjective suffix -eb, but for “alive” I’d use [N.] cuin.