Mock Orange tree

We have (what I think is) a Mock Orange tree. It was well established when we moved in and we have been here 15 years. There must be 40 "stems" coming out of the ground.

I have 2 questions:
1 Should it be like this with so many vertical stems?
2 What is the right time of year to cut it back?

Thanks in advance

 

1. Yes - though you can thin some out if required
2. Ideally out of the flowering & growing season but before any hard frosts.

 

I tend to think it comes under the category of shrubs that you prune immediately after flowering.

But I wouldn't prune out more than a third of the oldest stems in any one year.

 

Either prune it after flowering, or cut it down to ground level in early spring. The main question is, do you want to keep it or get rid of?