The t-SNE algorithm isn't a clustering algorithm, but a nonlinear embedding. Clustering algorithms assigns a label (or no label) to each point in the data set. Instead, the t-SNE finds low dimensional coordinates for each point such that nearby points in the original data are nearby in the lower dimensional representation.

That being said, I've seen the t-SNE used as a preprocessing step prior to clustering, as in ACCENSE[1].

[1]: http://www.cellaccense.com/