Sound should definitely be not cutting out. Check your cables, and if you have spares try swapping them out to see if that resolves the issue. My left one was cutting out randomly, not sure if it's cable or headpiece. Today, so far so good.
Also, is there humidity where you live? sometimes moisture can have an affect too. If so, put the processors in a Dry n Store zephyr if you received one with your kit.
It's only been one week, it takes time for the brain to make sense of the signals coming in through the CI. Just keep working at it, learning to recognize sounds and speech and it'll all start sounding better/more normal as time goes on, and with more mapping sessions as well.