The phrase "have claim" can be replaced with several synonyms that imply ownership or entitlement to something. Some of these words or phrases include "possess a claim," "assert a right," "lay claim to," "hold a title to," "own a stake in," or "have a share in." Each of these synonyms indicate some level of authority or legal justification for possessing or controlling something. When you have claim to something, it means that you have a valid reason for asserting your ownership or entitlement to it, and these synonyms provide a range of ways to express that sentiment.