A dangling participle is a wallet chain, cell phone headset cord, beeper leash, purse strap or other long slender device used to secure an object to a person.
A dangling participle is the "straps" that have the tendency to always get caught on another object when you least expect it to, often resulting in a humurous but humiliating yank in the opposite direction of travel (i.e.: getting out of a car, getting up from a desk, etc.).
When someone is so obsessed with someone that said person is a dangling carrot to them mixed with the person wanting to hang from their neck like a koala bear and be next to them at all times.