Sounds like poor policing to me.
Anyone can ask for Clare's law to be given to a current partner - the person themselves, an agency or a concerned third party.
MARAC meets monthly to discuss those currently considered most at risk from DV. There isn't a list that you stay on. If the relationship breaks down and you are no longer considered at great risk, you slip off the monthly agenda.
Once Clare's law is requested, the police force consider if there is anything disclosable. If it is requested by a third party they will ask the victim if they want it. If that person says no, their hands are tied. If they say yes, or if it has been requested by the person themselves, the police then type all the disclosable facts into a document which is read out to the recipient. You are not given a copy and have to agree not to disclose to anyone else what you have been told.
You can be offered Clare's Law several times if different requests are made.
I say that I think this is a case of poor policing because someone I know had a very poorly delivered offer of CL. The police phoned her to ask her if she wanted it. She said yes. They went off to prepare the document and said they'd be back in touch. When they did that, they phoned her out of the blue. She was in the car. With him. They didn't check if she was alone. They just started reading it out. He could hear the whole thing. So she stopped them, said all was well and she didn't wish them to continue. Needless to say, the relationship went very badly, he has been charged with coercive control and battery and is due to stand trial. Had the CL delivery been done properly, things may have been very different.