I am a full time college student (20 yrs of age) and my parents still claim me as a dependent. Is there a tax credit for paying for housing/rent as full time student?

When you are a dependent your parents are the ones who can claim the education credits.  But housing is not a qualified education expense unless they paid it out of a 529 plan or such.    You cannot get a credit for paying rent or dorm costs

QUALIFIED EDUCATION EXPENSES

https://ttlc.intuit.com/questions/1899852-what-are-considered-qualified-education-expenses

https://ttlc.intuit.com/questions/2976047-what-are-examples-of-education-expenses

https://www.irs.gov/help/ita/am-i-eligible-to-claim-an-education-credit

Further information on deducting rent:

RENT

There is not a rent deduction or credit on your Federal return.  If your state has anything for renters you will be prompted to enter your rent info when you complete your state return.  As far as I know, the states that have anything for rent are Arizona, California, Connecticut, Hawaii, Indiana, Iowa, Maine, Maryland, Massachusetts, Michigan, Minnesota, Missouri, New Jersey, New York, Rhode Island, Vermont, Washington DC, and Wisconsin.

https://www.rent.com/blog/states-with-a-renters-tax-credit/