there isn't any way for a clip to measure your heart rate. previously you needed a strap around your chest with wet contacts. now you need a light sensor pressed against your wrist. but no one has done it with a clip on your clothes device
I had a nephew who got excited when he saw HR done on watches. We did some research into accuracy and were surprised to find that the light-based tech used in many devices does not give you accuracy when you are running or generally moving fast. No idea about the fitbit devices but I am vary.