Tiggle bitties is the cool way of saying "big ol titties". This phrase is used as a noun. obviously means that a women's breasts are rather scrumptous, gargantuant, and well shaped. Jenna jameson has tiggle bitties.
Cutler: I was walking down a narrow corridor and this women was coming down the other side.
Husby: wow really?
Cutler: Yeah and and when I passed by her, her boobs brushed me.
Cutler: It was then I noticed she had some tiggle bitties because normal boobs wouldn't have brushed me.