1. Bookmark the tags and visit them regularly.
or
2. Upgrade to privileged and use tag subscriptions, then view those regularly.
Posted under General
There's also the option of subscribing to an (artist) tag's RSS feed.
If you use Firefox, an orange icon should appear in the top-right of the address bar after you do a tag search. And if you're using Chrome (which doesn't have RSS support out-of-the-box), there's a variety of extensions that'll allow you to subscribe.
There's also online RSS reader services as well, such as Google Reader. As an example, if I wanted to subscribe to the artist sankuma in GReader, I'd click the "Add a subscription" button and use the following URL:
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