There is a benefit to not promoting things that don't fit The Master Cleanse and that is that people (many) come to this forum for guidance and information to do the cleanse properly.
Promoting and then justifying reasons to do it in an aberrated fashion only confuses those looking for guidance.
Chewing something in the mouth causes the digestive system to stay active.
An active digestive system is probably the biggest factor that would interfere with the bodies ability to go into cleansing mode.
The degree that the body goes into cleansing mode is equal to the degree that the body cleans out toxins.
Hopefully this is enough info for you to add two and two and come up with four.