That’s a new one for me… fairly sure it still needs a server link. Are you sure you are not referring to the SuperChart as it will support LIVE tracking on BT/BLE
EDIT… OK I can now see data on the History Graph over BLE (using LightBlue Bean)… but I am not seeing any “unusual” connection issues… aside from the usual randomness that has been discussed in previous topics (search LLB or LightBlue Bean).
But, perhaps you can clarify some information…
Version of App you are currently running?
What version of Blynk Library?
iOS or Android?
Cloud or Local Server (even with BT a server is still needed for account login and auth code)
Hardware details… what type of MCU, what type of BT adapter, etc.
Perhaps even show us the sketch you are experiencing this issue on… (Please format any posted code as per the Welcome Topic):