The phrase "one's exclusive use" means something that is owned or possessed by someone and is used only by them, with no one else having access to it. Full definition
Guests now have the added option of exclusive use of the generous kitchen, dining & living space. (alluxia.com)
For those guests who are in need of greater privacy but still wish to have the hostel experience, we do offer options for exclusive use of a room. (norcalhostels.org)
With 4 or 5 rooms in each unit, groups can enjoy exclusive use of the flats; each has its own balcony, shared kitchen and living area. (hostelbookers.com)