One potential is if it's just one or two people being cut off constantly - if so, they might need to practice being engaging speakers and speaking more concisely. Everybody has the one coworker who takes 10 minutes to get to a 30 second point. (Cutting people off is still rude, the above isn't an excuse, it's an explanation.)
The alternative is that everyone is fighting to get out their idea instead of cooperating to lay out all ideas. If you need to, go buy a damn ruler, label it the talking stick, and whoever holds it gets to talk. Preferably before getting to that point, have a conversation with your peers that the deliberative process is a cooperative one - it's not about winning and losing, it's about everyone putting out their possible solutions and working together to build the right one.
The first point here is what came to mind. I try not to cut people off, but some may be droning on, or repeating or slowly pacing around a point even though my brain is 5 steps ahead already. I get bored and impatient and want to move on.
Maybe ask a fast thinker about your style, or try recording yourself and listen back to see if you can be more concise or lively.
One potential is if it's just one or two people being cut off constantly - if so, they might need to practice being engaging speakers and speaking more concisely. Everybody has the one coworker who takes 10 minutes to get to a 30 second point. (Cutting people off is still rude, the above isn't an excuse, it's an explanation.)
The alternative is that everyone is fighting to get out their idea instead of cooperating to lay out all ideas. If you need to, go buy a damn ruler, label it the talking stick, and whoever holds it gets to talk. Preferably before getting to that point, have a conversation with your peers that the deliberative process is a cooperative one - it's not about winning and losing, it's about everyone putting out their possible solutions and working together to build the right one.