The term "jigging puppet" typically refers to a marionette or puppet that is manipulated to perform a dance or jig. Depending on the context in which the term is used, there are other synonyms that can be used to describe this type of puppet. For example, it may be referred to as a "jigging doll," a "dancing puppet," or a "string puppet." Other synonyms that might apply could include "rod puppets," "manipulated figures," or "animated dolls." These terms all describe similar types of puppets that are controlled in some way to perform specific movements or actions as part of a performance or display.