Sounds like your ground is OK then and your builder is going to minimum required depth (not that you require building regs but they're a good guide). Damp trench base is fine- actually better than fine, it'll help the concrete cure properly-, full of water (with no rainfall) would be a worry.
Are you planning on any services to this here mancave (electricity being the main one, but drainage is a possible)?. Where is the guttering going to discharge- soakaway (fine), main drain (not so fine) or just drop it on the garden (best having a barrel under the pipe and use a hose to distribute it)?
Are you planning on any services to this here mancave (electricity being the main one, but drainage is a possible)?. Where is the guttering going to discharge- soakaway (fine), main drain (not so fine) or just drop it on the garden (best having a barrel under the pipe and use a hose to distribute it)?