Falling into a common trap, thinking the velocity is causing some mechanical or biological effect.
Instead Time, itself, is center stage. That is what effects the clock, you, plants, decay, you name it.
Less time passes and how much you age will reflect that fact.
We discovered Time, we invented Time Keeping. Time exists independent of us.
What the other frame sees is going to depend on whether the one is headed towards or away. Away slower, towards faster.
For you it always passes at the same rate.
Time runs marginally slower on Earth actually due to gravitational time dilation. Not a huge difference though.