Here is the statement from the lease agreement found on BP. Note that it identifies the tenant as being responsible for their insurance and if they do not purchase it, then they bear all the responsibility. It is one way to protect your self as the land lord.
18. TENANT INSURANCE
No rights of storage are given by this agreement. LANDLORD will not be liable for any loss of Tenant’s property. TENANT hereby acknowledges this and agrees to make no such claims for any loses or damages against LANDLORD, his agents, or employees. TENANT agrees to purchase insurance at their own expense, sufficient to protect themselves and their property from fire, theft, burglary, breakage, electrical connections etc. They acknowledge that if they fail to procure such insurance it is their responsibility and they alone shall bear consequences.
The lease that I use has the following statement. It covers all damages and loss regardless of cause - which does cover loss of use as well.
Insurance – Owners have obtained insurance to cover fire damage to the building itself and liability insurance to cover certain personal injuries occurring as a result of property defects or owner negligence. Owners’ insurance does not cover Tenants’ possessions or Tenants’ negligence. Tenants shall obtain a Tenants’ insurance policy to cover damage to or loss of their own possessions, as well as losses resulting from their negligence. Tenants agree to make no claim against the Owner for any loss or damage regardless of whatever cause of such loss. Tenants agree to show Owners evidence of such a policy within one month from the date of this Agreement. Initials verify that the Tenant understands this paragraph.
Hopefully the above examples will help.
The information provided is not legal advice and I am not a lawyer.