We are extremely active engaging with the public and see this as an important part of a scientific career. Most of our public engagement activities are opportunistic, through press releases about important new discoveries, but some of us also engage in more structured forms of activity. We can't do as much of this as we would like, because the primary determinant of scientific funding is the accrual of discoveries and publications, but we nevertheless see it as a priority.
Here are some examples of recent public engagement activity
For more spontaneous social media and public engagement, have a look at Twitter feeds of different group members