While meaning "irritating," "annoying," "uncomfortable," or "awkward," the word typically describes a state of being and no longer bears a direct relation to actual eggs. For philological purposes, it can be noted that all these denotations date as far back as 1982, as used in Naperville, IL, USA.

A disgusting fart which smells like rotten eggs.

when you want to say something is tokhmi, like in farsi, but you'd rather not say it in front of persian elders, you use the word eggy to get the meaning across, without having to use the actual term and get in trouble with your parents.

A fart that smells wrank

eggy³

- extremely new; fresh; young;
- a very young girl (chick) who is not sexually developed;
- a very young girl who has just begun the very first stage of puberty.

meaning small balls

A VERY bad smell - usually like eggs.