Recently it has come up at our table on the topic of centering a spell with an extended length, like Sickening Radiance, on a creature or something else that move. My table & I are unfamiliar with the ruling of centering spells on specific points.

The question is: If a caster casts a spell that centers on a point, and the spell continues for a period of time longer than 1 round, and makes the point a creature or something else that can move would the spell move with that creature or object?