There is a fine line between Wet and Damp. On some occasions it is a difficult call and the person inspecting will err on the side of caution and call it wet.
The other thing to remember is that quite often there is a lag between the Rwy drying out and an inspection, especially on a windy day or indeed vice versa when rain appears suddenly.
The best definition I've seen of damp is 'If you can sit on it without soaking your pants then it's damp'. Never tried it as a test but I'm assured it's accurate.
I've spoken to pilots who say that when a Rwy is called damp they treat it as a wet call. Sometimes we just can't win.
Remember if you want it checking again you are perfectly entitled to ask before your take off. If you can take the wait at the hold.....