The unidentifiable pieces of non-meat substance often found in chicken nuggets and/or the tendrile like portion of a chicken piece (ex. leg or wing). These veiny pieces often get stuck between your teeth.
Descriptions can include: gristle, fibrous matter, veins, cartilidge.
Derived from the way they "dangle" when held up for further inspection.
"I became a vegetarian after encountering too many chicken danglies in my mcnuggets."