Thanks for all the excellent info
The TCXO is actually a VC-TCXO at 10MHz intended for use in a cheap GPSDO where the ambition is to have 1e-9 frequency accuracy so the 2e-9 jump was just too high. The VC-TCXO had its own low noise voltage regulator but the Vtune was connected to a variable voltage divider between GND and the Vcc of the VC-TCXO  through a low pass filter so even with its own voltage regulator any change in current in the TCXO can change the supply voltage and feedback through the variable voltage divider. It was expected that only slow changes in current could happen because of temperature changes as the temperature control is very fast, loop bandwidth well within one second, and these where filtered out  by a low pass filter after the variable voltage divider. To test if the jump up and down was caused by a current to Vtune feedback the Vtune was set to Vcc, 1/2 Vcc, 1/4 Vcc and GND.
The result was interesting:
Vtune | Max jump
Vcc    | 6e-9
1/2 Vcc | 3e-9
1/4 Vcc | 1.5e-9
GND | no jump
This suggests the jump is indeed caused by feedback from the current changes through the variable voltage divider into Vtune and there is a digital circuit inside the VC-TCXO with changing current consumption causing the 107.34 seconds periodicity. To confirm the feedback was indeed the cause the variable voltage divider was connected to a 3.7 V battery instead of Vcc and indeed, no more frequency jumps!
The ADEV of this cheap VC-TCXO with Vtune at 1/2 Vcc is not bad:
0.1 s | 2e-10
1 s | 1.5e-10
10 s | 0.9e-10
100 s | 2e-10
With the Vtune at GND the ADEV is even much better so there is still some more investigating to do. Some DAC's with internal voltage references have been ordered to test if it  is possible to connect the DAC to the same Vcc (to save cost) and still have a stable but variable Vtune without feedback .
If this does not work the DAC will need its own voltage regulator.
Again thanks to all the people that replied, I'm learning a lot.
Erik.



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