Whether your chainsaw will be too loud for your neighbors depends on whether you are using a gasoline-powered or battery-powered chainsaw. Battery-powered chainsaws are much quieter than their gasoline counterparts since there is no engine, although they will still make some noise and the sawing process itself generates noise.
Of course, whether any amount of chainsaw use will annoy your neighbors also depends on how close you live to your neighbors and how frequently you use your chainsaw – if it comes out only once or twice a year for branch cleanup, a loud chainsaw may not be too much of an issue.