Thanks KARFA - I didn’t know that and that is very helpful. Having done a 60min connection on occasion off a JER flight it is quite tight even if you know exactly where you are going, walk quickly and can use the first wing. If the flight is more than 5 or 10 mins late or is on a remote stand then you are stuffed. As you say, here it is a legal connection so they can’t rebook anyway.
The OP will likely be bumped from their CAI flight and rebooked onto the next one if their connection from DUB is estimated as being delayed by any material amount.
If they nevertheless make it to the boarding pass scan point at Flight Connections more than 35 mins prior to departure of the earlier CAI flight, they may well have a case for Involuntarily Denied Boarding compensation, since they could have made it (if travelling without checked luggage).