What clematis
I have moved and in my new garden I have this what I believe to be a clematis but I don't think it's "old man's beard". The flowers are tiny, only two cm across from tip to tip, palest lilac on the backs and tips, and the tips are slightly forked. So sweet but what is it?

East Dorset, new (to me) rather neglected garden.
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"We don't stop playing because we grow old; we grow old because we stop playing." - George Bernard Shaw
I am not convinced that it is Clematis.
left flower in your pic appears to have a prominent stigma.
"We don't stop playing because we grow old; we grow old because we stop playing." - George Bernard Shaw
https://dancingoaks.com/products/clematis_campaniflora
https://www.clematisinternational.com/page134.html
https://clematisontheweb.org/new-clemdetail.cfm?dbkey=99