Most Americans have a job while in college. It has been like this for a long time. Unless you are on some sort of scholarship that prevents you from holding a job or on a visa that forbids you from working outside the campus.
When I was in college, I worked full-time and went to school full-time. Did my grades suffer? You bet they did. However, I also had a job during my final year that was related to my field. I was lucky in that sense. Do I list it on my resume? Yes I do.
Should you list your college experience on your resume? That depends. How relevant is that experience to your field of pursuit?
Did you work as an intern for a while in your field? Then yes.
Were you like me, where you were able to find a company who hired you on to do work in your field? Then yes.
Did you work as a bartender/server/in the service industry but that has nothing to do with your field? Maybe/Maybe not. This is tricky because it all depends on how you correlate your experience to your field of study.
If you are an engineer or in STEM think about how this experience helps or hurts you. Are you putting the experience on there just to have something? That’s valuable real estate, why not use it for your projects that helped you and your internships?
Remember when you first graduate, your resume shouldn’t be more than 1 page. And yes this applies to internship applications as well.