I use dual Thrustmaster T-16000M joysticks and the only problem I have ever encountered is the Z-Axis (twist) starts going haywire. If you use the Z-Axis (twist) for Roll or Elevation then you may start to notice your ship just randomly rolling or strafing up/down (elevation). If you are still under warranty (1 year from purchase date) then Thrustmaster will replace the joystick free of charge. If you are out of warranty then you can repair it yourself.
I have had two T16000M replaced but they are now out of warranty and the problem has surfaced again. I’m pretty pissed off about this so I have ordered their replacements from here.
If you need to fix the problem then here are some pretty good instructions I found complete with pictures!