I see more Slavic roots in here - in Polish it's "ocet", which is basically pronounced just the same. :)
Yes, Romanian does have slavic roots, being situated between Bulgaria, Serbia and Ukraine. An example is vreme (time, weather). It even has Hungarian and Turkish roots (such as tutun = tobacco). What do you expect from a language surrounded by languages from other families.
From Slavic оцьтъ (ocĭtŭ) (compare Serbo-Croatian ocat, Bulgarian оцет (ocet)), from Latin acetum.
1) vinegar (condiment)
(Declension chart in Romanian Wiktionary)
Etimologie (oțet, plural oțeturi)
Din slavă ocĩtŭ < latină acetum.