The phrase "all tied up" refers to a situation where someone or something is immobilized or unable to move due to some constraint or obstacle. Some synonyms for this phrase could be "bound," "trussed," "restrained," "confined," "immobilized," "stuck," "held captive," or "hamstrung." These synonyms convey the idea of being unable to move freely or escape from a particular situation. They can be used in various contexts such as describing a prisoner's condition, an animal that is trapped, or a person who is caught up in a difficult or complex situation that they cannot easily escape from.