Without knowing the type of tank you want to clean, if you want a non solvent based, or a non dry-burning method of cleaning your thanks, I would suggest:
Removing heating head/atomizer, and using tongs/tweezers to hold the tank and heating coil under as hot as you can get it tap water. Next fill a bowl with hot tap water and let the items soak for an hour or so. Rinse off the parts again when you remove them from the bowl. Repeat if needed.
If it's still putting off strong fumes of the juice you were using, let them soak over night. After rinsing, stand them up on a folded paper towel and let them dry for several hours. The wicks take the longest to dry.
Hope that helps.