Thanks for your question.
No, the agents are not entitled to a further month's rent. If the tenancy was for a fixed term then a tenancy may leave upon its expiry without giving any notice. If they ask for the money again tell them that they are not permitted to in law and if they ask again your daughter should state she will report them to the Association of Residential Letting Agents (if they are a member).
They will not be able to sue her for a further months rent.
I can't stand agents like this. If she was occupying the property on an assured shorthold tenancy agreement (which she will be unless she was given a notice when the tenancy started that it wasn't) and the deposit was not lodged in a Tenancy Deposit Scheme then she will be able to make an application at Court for the whole of the deposit amount and a fine of three times the deposit amount payable by the Landlord (in effect the agent) to her. It's worth checking if they are as reckless as they sound.
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