Zenrook,
Have you paired your ConnectClip with anything other than your Win 10 computer?
In my case at work, my ConnectClip has been paired with both my MacBook Pro and with a Cisco 8851 VOIP phone (it will connect to bluetooth headsets). The phone sees the ConnectClip as a headset and will connect to it if the ConnectClip is not connected to another device (like the MacBook). I can’t predict which will connect when I power on the ConnectClip but I can disconnect from either the phone or computer using menu items on the phone/computer without unpairing. I can then ask either the phone or computer (again using a menu item) to connect and it happens reliably.
At home, I only have a computer (iMac) that has a BTD 800 plugged into it into and the ConnectClip connects to that when it powers up. If my iPhone is paired with it and nearby, the ConnectClip may connect to the iPhone instead of the computer. I don’t normally have the iPhone or the computer bluetooth paired with the clip; only the BTD 800 (along with the work computer and phone).
On page 37 of my copy of the Instructions for use, the paragraph on the page says one connection at a time. “When paired with several devices (up to eight), the ConnectClip will connect to the first phone available/in range.” I assume they really mean first device rather than phone.
I wonder if your clip is connecting to something else when you walk out of range of the computer? If not, then there may be some incompatibility between the computer bluetooth and the ConnectClip. That might be fixed by a driver update for the bluetooth in the computer. We have found (at work) that the manufacturer provided drivers for many hardware devices are, in many but not all cases, better than the generic Microsoft versions. However, I have zero experience using a ConnectClip with Windows 10.
In my case, Oticon Technical Support suggested that many desktop computers work more reliably with the ConnectClip when the BTD 800 is used rather than the computer bluetooth. I have no idea if that would be the case for your computer.