Good t-SNE or bad t-SNE?
t-SNE is notoriously fickle.  I would advise you read this short article How to Use t-SNE Effectively before you invest too much time trying to interpret the plots.  In case you don't read it, you'll find that your t-SNE plot will change considerably based on your iterations, and perplexity.  You'll find that distance between clusters aren't accurate and that cluster sizes aren't accurate too.  t-SNE is a cool data reduction too, but often takes multiple runs to get a "good" plot.  Laurens van der Maatan even suggest that running multiple iterations and picking the one with the lowest KL-divergence is perfectly okay.  This is due to the fact that t-SNE is non-convex so you won't necessarily find a global minimum.