Will paying off even a low amount of my student loans while I am still in college raise my credit score?
Paying off some of your student loans should lower your overall debt-to-income ratio and should affect your credit score in a positive way.
Although, I am not sure how much it would be noticeable if you were only paying a small amount off.
When you pay off your student loan completely, it actually may lower your score a bit as student loans are part of your "credit mix" and when you pay off one type of credit account, if you don't have other similar accounts, your credit score may drop slightly.
As a general rule of thumb though, paying off debt is a good thing and a credit score should not play any role of importance above becoming financially free from debts that eat away our money in interest.