Your out of specification procedure should contain appropriate action for when your instrument exceeds the specified tolerance.
It should specify how the out of tolerance is documented, who is alerted, and how investigation (if any) is to be conducted. Hopefully you have an electronic system, where you can easily verify which instruments have been calibrated by that equipment (if any- reverse traceability).
Essentially you want an action plan when the instrument fails. Hopefully while writing your out of specification procedure you conduct adequate risk analysis, where the actions equal the level of risk.
I'm not sure if I am addressing your question. Please feel free to post and let me know if that covers your issue or not.