The "general rule on listing college work experience on a resume after 3-5 years of professional experience" is "it depends".
The overall rule is that your resume includes everything that showcases your skills and experience but that also remains within the generally accepted and desired 1-2 page range.
As a hiring manager, if you held only that one position for those 3 to 5 years after college, I would still prefer to see those part-time jobs from college, because you're early enough in your career that I'm still using your resume to get a full picture of who you are and how you've grown as an employee, and if that starts early, I'm interested. However, if you've been there 5 to 7 years, I care considerably less about that, because who you are as an employee is clear: someone who stays in one place for some time.
If you held multiple jobs over those 3 to 5 years, then I want to see all of those listed as well -- same reasoning (I want to see how you've grown as an employee) but with more attention paid to the types of jobs you've hopped around to, to try to figure out why (bored, bad fit, moved to a new area, etc).
Now, in either of those situations, if the work you did in college was dramatically different (e.g. pizza delivery versus computer programming), then I would clearly classify those as "Miscellaneous" or something like that, and list them just for completeness (and in truth, many companies will ask you to complete a job application listing all your jobs for the last 10+ years, so you might very well have to do it anyway).
For example, you might have:
Some Job Title, Some Company, Some Location, 2009-2012
- Description and list of skills used.
Past Positions Held
- Pizza Delivery (part-time), Some Company College Town, 2009
- Video Store Clerk (part-time), Some Company College Town, 2008
But, if the part-time stuff was relevant, I would be totally happy to see this no matter the space it takes:
Some Important Job Title, Some Company, Some Location, 2009-2012
- Description and list of skills used.
Some Job Title (part-time), Some Company, Some Location, 2009
- Description and list of skills used.
Some Job Title (part-time), Some Company, Some Location, 2008
- Description and list of skills used.
...until I see this:
Some Really Important Job Title, Some Company, Some Location, 2016-2020
- Description and list of skills used.
Some Moderately More Important Job Title, Some Company, Some Location, 2012-2016
- Description and list of skills used.
Some Important Job Title, Some Company, Some Location, 2009-2012
- Description and list of skills used.
Probably somewhere in 2013 or 2014 the imaginary person in this example could knock the college off the list, and certainly by the completion of that second position listed.
Again, the goal is to give the best (and most accurate) picture of you that you can give, in the space you have to give it. That may include 9 entries for 9 years (5 years plus college), 2 entries for nine years, or anywhere in between.