Continue steadfastly (9)

I believe the answer is:

persevere

(Other definitions for persevere that I've seen before include "Struggle on!" , "Continue in adversity" , "Be persistent, refuse to stop" , "Continue regardless" , "Serve peer (anag.)" .)

I've seen this clue in the Sydney Morning Herald and The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.