So much depends on how you've implemented tags on your site and who your audience is.
It can be tempting to implement tags to try and make up for a broken categorisation and it's tempting to add tags to a page because they mention a topic rather than because it's actually relevant to that tag.
It worth taking a look at your analytics to see if (and how) your visitors are using your tag pages. I've see many sites where visitors just don't use the tags (there too many, they're meaning less, or even they are not obviously links!) and a lot of this depends on just how many tags your using, how meaningful these tags are to people and the relevance and quality of the articles you have associated with each tag.
Have you got internal search set up on your site and are you capturing the search data in your analytics? This can provide some great insights in what people are struggling to find on your site and what they expect to find. It can also highlight areas where your IA isn't working.
(As James mentioned) If your tag pages are indexed, and getting inbound search traffic then segment your non-paid search traffic and look at the bounce rate and other engagement metrics. How valuable is this traffic to you, and how relevant are they finding your tag pages as the answer to their query?