I work at a small startup and we are growing quite rapidly. We recently moved to a new, bigger location and got new desks and storage cabinets for our things. I'm not secretive and I have nothing to hide, but I don't like the idea of anyone having access to the things I keep in my drawers/cupboard, as I'm not the only one with keys to the office, and the complex is open 24/7. I occasionally keep quite high-value things in my cupboard - I work in the IT industry and buy and sell expensive components as a "hobby" and they are often left in my cupboard unattended if I go out for lunch, step out for a little while or work remotely.
Is it OK to ask for a lock to be put on the drawers? How can I approach the matter?
EDIT: I also keep prescription medication in my drawers. Does this affect my case?