Gnomish
raust
noun. hunt, chase
rausta-
verb. to hunt, chase, pursue (only in actual sense of following game)
Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!
A word appearing as G. rausta- the Gnomish Lexicon of the 1910s with the gloss “to hunt, chase, pursue (only in actual sense of following game)”, a verb form of G. raust “hunt, chase” (GL/65). Tolkien also had G. rautha- “hunt, chase, pursue” on the same page.
Neo-Sindarin: For purposes of Neo-Sindarin, I would adapt these verbs as ᴺS. ruida- “to pursue, chase” based on the later root ᴹ√ROY “chase” and cognate to ᴹQ. roita- of similar meaning, but removing the sense “hunt” and its connection to game animals to make it more distinct from [N.] fara- “to hunt”. I’ve seen this Sindarin neologism proposed in several places, but I’m not sure who first coined it.