A tenant at sufferance is a person who remains on a property after their lease or rental agreement has expired without the landlord's permission. They may be occupying the property unlawfully and can be evicted by the landlord. This type of tenancy is also referred to as a holdover tenancy.

Answer

He's only staying here on sufferance

Tenancy in common; joint tenancy; tenancy by the entirety; tenancy in partnership; life tenancy.

distress or injury suffered by the tenant.

secondary tentant is considered co-tenancy