If its an SC cut than 60°C is way too low. Below 80 and 90 is normal. So maybe you do have a heater problem.
From what I have read, a typical OCXO maintains an internal temperature of 75degC to wiithin +/- 1degC.
That makes sense because the 8663-XS operating range is specified from -20degC to +70degC.
The crystal temperature needs to be maintained above the maxiumum external temperature to allow it to be controlled.
I have read conflicting information about adding external thermal insulation around the OXCO can.
The link below suggests adding a foam cover to reduce air flow:-
https://www.microchip.com/content/dam/mchp/documents/VOP/ApplicationNotes/ApplicationNotes/Optimizing%20the%20OX-601%20and%20OX-502%20Performance.pdfTo try this, I added a 6mm thick foam jacket around the can. Initially I left the top of the jacket open.
After waiting a few hours for the frequency to stabilise (with the instrument lid in place), I measured the OCXO temp as 62.5degC.
The tuning voltage required to give exactly 10MHz had dropped to 5V.
That doesn't make much sense to me.
If the OXCO is regulating it's internal temperature correctly, then the tuning voltage required for 10MHz should remain about the same.
I would also expect it to take less time to reach a stable temperature and frequency.
Update:
I tried adding another piece of foam to act as a top cover to the thermal jacket.
After leaving for a couple of hours, the OXCO can temp was 71degC.
At this temperature, I was unable to adjust the frequency down to anything close to 10MHz even with the tuning control voltage reduced to 0V.
I am baffled.