This means, the owner of the policy must rely on the insured for some means of financial support, of the owner may suffer financially if the insured person were to die.
If you the life insurance was placed In Force while you were married and you are asking can you keep the life insurance policy in force the answer is Yes.
If you are asking can you purchase a new life insurance policy on the life of your ex-spouse the answer is Yes, IF there is and insurable interest and with your ex spouse's permission.
Sometimes life insurance is required in a divorce settlement so it is common for one ex spouse to have life insurance on the other ex-spouse.