Hi Friend I am Dr Bilal and I am an Ophthalmologist
Welcome to Health Care Magic
I would like to answer your question and your satisfaction is my goal .
First of all I hope that the cut on your eyelid is not deep . You can use Alcohol Swab (which contain 70% of isopropyl alcohol) as an antiseptic over the cut and then apply Polymyxin B Sulfate
Ointment ( Antibiotic Ointment ) over the cut . Apply the Ointment after every eight hours . It would be perfectly alright with 2-3 days .
I Hope You will find my answer helpful.
God Bless You
Best Regards .