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I don't really know the full feature-set or use-cases of the website (nor does that necessarily matter I guess), so I'm not sure I can comment on the name. Something I might say is that I have a hard time reading it in my head (maybe Tag-nana would work better? I'm not an expert on etymology or naming).
I really like the simplicity of the logo (less elements leave less to be bothered by and less to be distracted by). The font is a bit screwy, especially in this render, but the angles could play well if the site is also playful. I would be careful about your color choices if you want them to be consistent with the rest of the site. I don't know how well a site will look if everything is in a similar color scheme to this logo.