up to their necks

Thesaurus

Adj.

1.up to their necks - deeply involved; "neck-deep in work"; "up to their necks in debt"neck-deep, up to her neck, up to his neck, up to my neck, up to our necks, up to your neckinvolved - connected by participation or association or use; "we accomplished nothing, simply because of the large number of people involved"; "the problems involved"; "the involved muscles"; "I don't want to get involved"; "everyone involved in the bribery case has been identified"