Assuming beam battle as in anything goes shooting, Superman. The residual heat alone might kill cyke if he is within the viscinity, hv is just that powerful and has better feats. Cyke having human stats and durability doesnt help either.
Dbz style beam on beam collision? Cyclops. Im not very familiar with hv's concussive force but the only notable thing I know of that it deflected is omega beams from ds which also has suspect concussive potency. Meanwhile Cyclops optic blasts kinetic force has a quantified force equalling to a nuclear powerplant output.
Are we talking about the two locking eye beams? If so, then Cyclops does indeed stand a chance and may actually win. Superman beams are heat really ( correct me if wrong ) Cyclops is more a concussion force beam. When cyclops hits a person, they go flying away, supermans is known for burning mostly. Going with Cyclops for now.