The shutter of any camera has a life cycle that is consumed with the number of shots we make. For normal use, you will almost never get close to that limit where the chances of the shutter failing are diapaned. If we understand by normal use do not make clear timelapses. The question is clear, depending on the model that is (how much lower in range, fewer shots) the cameras are prepared to perform between 50,000 and 350,000 shots, at least in Canon and the rest of brands in a similar way. Almost all medium-high range models "guarantee" 150,000 shots.
But let's see in what terms we are talking. This does not mean that if you buy a camera that says that your shutter life cycle is 300,000 shots, 50,000 shots or 150,000 shots, reach that number. Rather, we are talking about statistical terms and probabilities. Normally brands usually refer to approximately 80% of the cameras that are manufactured will reach that ceiling of shots without damaging the shutter. In fact many professionals of this technique for these reasons have bodies that they dedicate almost exclusively for their timelapses and when they need to make "pure and hard" photography, so to speak, they use other bodies.