have one's moments

Also, have its moments. Experience or undergo brief periods of distinction. For example, It wasn't an outstanding performance, but it had its moments, or “Even a mailman has his moments” (Saturday Evening Post, April 9, 1927). [Early 1900s]

Words nearby have one's moments

have one's eye on, have one's hands full, have one's head in the sand, have one's head screwed on right, have one's heart in it, have one's moments, have one's own way, have one's say, have one's way with, have one's wits about one, have one's work cut out for one