He's just needing to 'bond' with you.
But he is 8 and at the same time you can teach him.... about this.
Just nicely and lovingly... explain to him that everyday, people need to do things. He is old enough, to play and entertain himself.
Give him ideas.
A puzzle.
Workbooks
Drawing
Reading
building something
making things up himself
Just talk WITH him.... calmly and lovingly so he does not feel shunned.
When my daughter, who is 8, gets clingy... I just say "Okay, Mommy will do something of your choice for 1/2 hour. But then, I need to get back to my chores/work etc." and she is fine with that. She just needs to have it explained and (she does know) for me to say it, nicely, that everyone in a family, has to do things too. There is her time and there is my time and there is family time etc.
I also give her chores.
Just tell your son, "I want to spend time with you, I will, but also understand that not every minute can be doing only that. I love you, but Mommy also has other work to do. Each person in the family, has a role and responsibilities."
You explain, you love him, but there are also other responsibilities too.
And even if you and he are doing different things at the same time, you are both STILL a "TEAM" and you are there for him. He just has to call you.
Or, have play-dates for him.