You can easily share your Calendly with your clients to make appointment scheduling a breeze. Just go to the Calendar page in your dashboard (from the main menu). Click on the big green button and follow the instructions. All you will need is the share link from your Calendly account for the meeting type you want. Your clients will see this link on their side and be able to add an appointment to your Calendly schedule.
Please note, this will NOT create an appointment in your LCH calendar, but you can do so manually after you are advised of the appointment.