From Longman Dictionary of Contemporary Englishworldly-wiseˌworldly-ˈwise / $ ˈ‧‧ ‧/ adjective EXPERIENCEDhaving a lot of experience and knowledge about life so that you are not easily shocked or deceived OPP naïve, naive
Examples from the Corpus
worldly-wise• Behind her back, Melissa smiled at this shot at appearing worldly-wise.• The worldly-wise orchestrator will rather see to it that there is not an important clarinet part in the aforesaid section.• Now its innocence had vanished, and it was thronged with worldly-wise urban people intent upon sophisticated urban undertakings.