Q.miniature Jade plant
I have a miniature Jade plant and it is growing just fine; however, at times there are little white, cotton like gooey material that on the stems just below the new growth. Should I remove this stuff or let it go?

Your plant has Mealybug.
You can treat with Neem Oil. You may need to retreat to make sure the infestation is cleared up.
Isolate this plant from any other plants you may have, and check them also.
Here are a few links for you.
https://www.gardeningknowhow.com/plant-problems/pests/insects/mealybugs-control.htm
https://www.gardeningknowhow.com/plant-problems/pests/pesticides/neem-oil-uses.htm
https://www.gardeningknowhow.com/houseplants/jade-plant/white-spots-on-jade-leaves.htm