Even if your job is relatively secure, this is a time in which everyone needs to be looking. That means you should be meeting people you know from prior jobs for coffee, making sure your presence on websites like Facebook and LinkedIn makes a good first impression, and updating your resume so it's ready to e-mail on a moment's notice.
Of course, do this while remaining diligent at work. Face time is important in this economy. When you do something great, take credit in a suitable way.