A word for “thither” in the Gnomish Lexicon of the 1910s based on G. hai “there” (GL/48).
Gnomish
hant
noun. throw, cast; turn or move in games
hant
adverb. thither
There are more words but they are from Tolkien's earlier conceptional periods. Tolkien likely changed these words as he evolved the aesthetics and completeness of the languages. You may even find languages that Tolkien later rejected. Do not mix words from different time periods unless you are familiar with the phonetic developments.
Below: Tolkien's Late Period (1950–1973). These are from Tolkien's late conceptual period — his most settled forms of the languages. Prefer these over the earlier ones above when composing new text.
A noun in the Gnomish Lexicon of the 1910s glossed “a throw, a cast”, as well as “a turn, move, go, etc. in games and so on” (GL/48), clearly based on the early root ᴱ√HATA (GL/48).
Neo-Sindarin: Since the similar root ᴹ√KHAT “hurl” survived in Tolkien’s later writings, I would retain the noun ᴺS. hant “throw, cast” for purposes of Neo-Sindarin, with the extended meaning “turn or move in games”.