It looks like Blackcurrant to me. Flowers are wrong for White or Red. Try crushing and smelling a leaf though, Blackcurrants have a fairly strong scent (I would say unpleasant scent but I know a lot of people who like it)
@Naomi126 I have to agree with @tiggrx , Im quite sure this is a blackcurrant. I grow both black & redcurrant & those blooms look much more like those on my blackcurrant than those on my redcurrant. You can look at the pictures of the blackcurrants on my profile & on the search, & redcurrants too. I'm sure you'll see what I mean.