It might help to understand why people are cutting you off. Some situations where I have cut people off (maybe in the wrong; it's a judgement call):
* It's clear everyone understands what's being said and explaining further is wasting time
* It's clear what's being said is based on a misunderstanding or is not relevant
* I can tell where it's going and have already dealt with what will eventually be concluded so the whole conversation can be cut off completely
* I have input into the topic that it appears no one realizes yet and might drastically change the direction of the conversation
* It's clear that we've gone on a tangent and it's time to get back on track
* Someone is telling a personal story for effect and it's not adding business value or social value to the discussion
* Someone is grandstanding for no apparent reason other then self indulgence
As for solutions:
* Establish a protocol for raising attention that someone has input before the speaker is done; like raising your hand
* Use a talking stick
Non-solutions:
* Calling someone out for interrupting you might foster hostility. Instead, during a retrospective or something similar, raise a concern that generically people are having a hard time completing their thoughts because they keep getting cut off.