I finished Core 10000 (an Anki deck) and 振る舞う (to entertain) was one of the last ones to pop up.
I find it interesting because to me it appears to be a combination of plain form 振る (to shake) + another plain form verb 舞う (to dance). This differs from all the other two-verb compounds I am used to such as 取り引き (transaction, noun in this case)、書き直す (rewrite)、やり直す (redo)、吹き出す (blow out), 話し出す (start talking)、飛び上がる (fly up), where the first verb is the masu-form instead of plain.
I cannot recall any similar plain-form + plain-form verbs like 振る舞う.
My theory is that either this verb is an exception to the rule or this verb is in fact, NOT a two-verb compound. It is simply ふるまう, a single verb, and the Kanji was conveniently added later to make it look like a two-Kanji compound.