For the past years we have had a 3 hour connection in Chicago and never made the connection. You have to factor things in like bad weather and plane break downs. The first year Orlando closed down to bad weather and the second year the plane developed a fault. This year we allowed a 6 hour connection in Houston and after been diverted to New Orleans due to bad weather we made our connection with 10 mins to spare (Never fly at the same time as us as we are very unlucky, we once had to make an emergency landing due to an engine fire).
I would say personally allow 1-2 hours as a min but you can never tell what is going to happen with connections.
If you are late due to a technical fault the airline are responsible to get you onto another flight however if its down to the weather you are on your own and this is why you should have good travel insurance.
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