This novelty song arrangement represents the vaudeville-inspired piano style of the early 20th century. It utilizes a simple tonic-dominant accompaniment pattern typical of popular music from that period.
The technical demand lies in the execution of the light, bouncy phrasing required by the style.
Comparable difficulty and character — good candidates for what to learn next.
Big Chief Oy, Oy is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 2.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Big Chief Oy, Oy lasts about 3 minutes.
Big Chief Oy, Oy is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include (I’m Spending) Hanukkah in Santa Monica by Tom Lehrer, Bouquet de mélodies sur les Dragons de Villars by Henri Cramer, Bouquet de mélodies sur 'Les cloches de Corneville' by R. P. Cramer — see the full similar-pieces list on this page.