A lien will not prevent rental of a property, however a contractual writ will allow you to satisfy the debt by attaching the rental income stream. If you have a judgment then you will be able to have a writ issues and served on the renters and then they will pay you the rent, for the term of the writ or until the debt is satisfied. However if you attach the rent the mortgage may go into default and your position would be in jeopardy.