The online booking service was overloaded when it opened. There were no vacancies for the first weekend, and evenings were booked out for the month with a few lunch-time vacancies remaining, a spokesman said.
Limited season
While the tree house restaurant is open for a limited season - 9 January to 9 February - an extended opening period is under consideration.
The restaurant offers a banquet-style lunch and dinner daily for groups of four to six diners. Diners are advised to bring warm clothes as "it can get a bit chilly up there".