I have practised acupuncture and Chinese medicine for a while. I need to new name for my practise?

the name should offer space for further developement of the clinic. It should be efficient, clear, short, meaningful, pronounces easy and well.

acupunctual

call it a wellness center.

maybe your part of town such as

LoDo wellness center
east side wellness center

or if you want to use your element such as

earth & fire wellness center

or something personal.
The Meridian Dynasty <<<This name has much more subliminal "faith in history of efficacy" by the use of the word dynasty, and also gives you an instant segeway into this, if asked.

Pins and Pestils
You could try........
AcuMed (acupuncture and medicine).
Inyu
Chi Acupuncture and Wellness Center
AC. stands for accuclinic.