Sublet. To sublet means that the tenant is temporarily leaving the apartment and therefore is transferring less than the entire interest in the apartment. A sublease is a binding contract, and all of the same lease rules and rental laws apply to everyone involved as with a regular lease.As a leaseholder, you can rent your property out. This is called 'subletting'. How do I fill out these forms? The landlord chooses whether or not to allow this type of agreement.