An unusual combination

Normally when a friend or family member asks for watch advice, I can recommend some good options from memory. But this one has me stumped. Does anyone know of watches with the following:

• Non-circular case (preferably square or rectangle)
• Single hand
• 38mm side length or smaller
• Lumed hand
• Not quartz (wouldn't be my choice but no matter)
• uncluttered aesthetic

If anyone has a closest fit to that spec list, I'd love to hear it!

Thanks for the help