Clue: Regularly abreast, saving time for the news? Drink up and get ready for the worst (6,4,3,7)
Answer: BATTEN DOWN THE HATCHES
Explanation: Definition: get ready for the worst 
regular letters from a**B**r**E**a**S**t, around/saving all of: **AT TEN**="time for the news" + **DOWN THE HATCH**="Drink up"