Reducing a large Lilac bush

My Lilac bush is approx' 7-8 feet deep, which is encroaching far too much into the garden. Can I reduce the depth?, if so, when would be a good time to do it and how do I go about it please? I would add, that this grows in height, quite rapidly and has never flowered due to the fact that I keep the height down. T i a
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If you don't allow it to flower, it may be an idea to dig the whole tree out ( perhaps not simple given the size ) and use the space for something else.
Is it shady? If so, some of the Viburnums would be better, or Osmanthus. I have O. burkwoodii, which is excellent, and easy to maintain. Tiny, creamy scented flowers in late winter/spring.
In a sunnier site, there's probably more choice.
I live in west central Scotland - not where that photo is...
East facing, top of a hill clay-loam, cultivated for centuries (7 years by me). Birmingham
It's certainly easier when the ground is damper - easier to get a spade in
I live in west central Scotland - not where that photo is...