Yes, you can just do nothing with your 1098-T. The 1098-T is only an informational document. The numbers on it are not required to be entered onto your (or the student's) tax return.
But you should claim it. The four year limit is for claiming the more generous American Opportunity Credit (AOC or AOTC). There is no limit on how many times you can claim the other credit, the Lifetime Learning Credit (LLC) . It's 20% of the tuition paid.
As an aside, you are probably not even eligible for the AOTC, for the situation you describe.
