" ... Under Kentucky law, a landlord must return the tenant's security deposit within 30 to 60 days after the tenant has surrendered the rental property to the landlord (i.e., returned the keys and vacated the property), depending on whether the tenant disputes deductions taken out of the security deposit. ..."
Kentucky Security Deposit Limits and Deadlines | Nolo.com
http://www.lrc.ky.gov/KRS/383-00/580.PDF
It says you should have given them a "final damage listing" when they moved out, and that you have to send them a written notiification about the security deposit. If they don't respond within 60 days, you can keep it. If you haven't done so alreadly, you should prepare such a final damage listing and send it to them. It is interesting that the statue fails to say how long you have to give them this listing, but it does say that you cannot keep the deposit without having done so.
If you are going to rent again, be sure to become familiar with your state's
Landlord/ Tenant Act.