There is no side effect with chin tuck exercises. But you can reduce it to 10 times thrice a day to avoid unusual strain. Did you rule out the cause for your tinnitus? How did you confirm it?
Next Steps
You should avoid repetitive loud noises.
Check out for sodium and potassium levels in your body.
Health Tips
You need to consult a Physiotherapist in person or through video call for exercises and further evaluation and treatment.