No push notifications even in the newest version. Only the little purple dot in the bottom-right corner. 

(Some people, like nostr:nprofile1qqsyvrp9u6p0mfur9dfdru3d853tx9mdjuhkphxuxgfwmryja7zsvhqpzamhxue69uhhv6t5daezumn0wd68yvfwvdhk6tcpz9mhxue69uhkummnw3ezuamfdejj7qgwwaehxw309ahx7uewd3hkctcscpyug, prefer that it stays that way to avoid notifications/dopamine-hit overkill)