up to our necks | sense examples, Usage and Definition from wordnet dictionary online

Adjective up to our necks has 1 sense

neck-deep, up to my neck, up to your neck, up to her neck, up to his neck, up to our necks, up to their necks - deeply involved; "neck-deep in work"; "up to their necks in debt"
Antonym: uninvolved (indirect, via involved)