"Hath claim", a phrase that means to have ownership or entitlement to something, can be replaced with various synonyms depending on the context. If the possession is legally recognized, alternatives include "own", "possess", "hold", or "command". If the person is asserting a right or title, then "assert", "declare", or "proclaim" are appropriate. If the possession is being disputed, "contend", "dispute", or "challenge" can be used. Finally, if one person is giving up their claim to something, "relinquish", "renounce", or "abandon" can be utilized. It is important to choose the right synonym to improve clarity and convey the intended meaning accurately.