Gradually advance beyond set limits (8)

I believe the answer is:

encroach

(Other definitions for encroach that I've seen before include "Intrude on somebody's territory or time" , "Invade" , "Impinge, infringe" , "Gradually intrude (on person's area)" , "Advance beyond the usual limit" .)

I've seen this clue in 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.