Answer:
I am a celebrity fish.
I lose my head in the morning and regain back it at night.
My first is high my second damp my whole a tie a writer's cramp.
The more you take the more you leave behind. What am I?
I go from house to house a messenger small and tight. Whether it rains or snows I sleep outside at night.
A little house full of meat, no door to go in and eat.