I don’t have any related experience, but I suspect that cucumbers would be harder to grow this way than most other plants. They like lots of heat, light, and room to grow. I don’t know about the 24 hour light. Maybe timers and two lights with one black. Just a guess. I haven’t heard of any experiments with lighting.
Do you have a plan for ventilation?
I would be prepared with different wattages of bulbs to regulate heat. Maybe a timer would help with that too.