My eyelids were so heavy that my eyes shut against my will, and my neck was soggy.
The salad should be dressed and well seasoned but not soggy.
The unfortunate lighting and makeup combined to give him the skin tone of soggy cardboard.
1722, perhaps from dialectal sog "bog, swamp," or the verb sog "become soaked," both of unknown origin, + -y (2). Related: Soggily; sogginess.