Air Moldova to start a weekly flight to Chisinau via FRA from 19 June-4 September with an A320. every Tuesday.
Chisinau - Frankfurt - Dublin - 05.25-06.55-08.10-09.10
Dublin -Frankfurt - Chisinau - 10.15-13.15-14.15-17.35
They don't have the rights for DUB-FRA-DUB flights.
They had announced flights to DUB with LH from FRA a while back.