My #1 is chambered for the rimmed .303 British case and on ejection the rim hits the safety button but I don't remember any hanging up and stopping without being fully ejected from the rifle.
I suppose one of the larger rimmed rounds such as the 9.3x74r or the 450/400 3" may pose a problem as the rim is larger in diameter.
That would not be good while having something large and pissed off bearing down on you.