This question very much depends on the type of CT.
LV, MV, or HV
Bushing CT
Dry-type MV
Oil-filled HV
Bottom line is that a CT left with an open secondary will fail in some manner given enough time.
Often times, the initial failure will be at the secondary terminals, depending on the open-circuit voltage of the CT and level of primary current.
The open-circuit voltage of larger ratio protection class CTs can be in the range of 20-50 kVp and can be quite dangerous.
Also, as previously mentioned above, when a CT has an open secondary, the core is sent into deep saturation and a lot of heat is developed at the core. Given enough time, this can lead to catastrophic failure of MV and HV CTs.
As a general statement, I would not recommend using a CT that has been operated with the secondary open-circuit.