No Yuk, David - and good for you for the good idea on taking care of the mucous. For anyone needing to spit, I say
Do it! Do it! Do it! 
Your comfort is
way more important than whether or not anyone is going to be grossed out. What really grosses
me out is seeing someone spit that ugly chewing tobacco juice! Maybe someone needs to design a cute little container for the mucous that says "Cancer Survivor" with a

on it.