What does it mean exactly please?

My ex told me he could not give me the family that I want (he already has kids…etc) so I took it as he wants to break up with me and I decided to move on with my life.

We basically had the conversation two days ago. Today he told me that he still want to stay connected tho and that he « cherish » me.

I am not anglophone and I don’t know understand exactly what it means.

What does cherish means please?
What does it mean exactly please?
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