I have never heard of checking timecard online. You can go to the time clock and do an Inquiry. It will show how many hours the computer thinks you worked for the week. You would need to ask your payroll person or CSM for a hard copy of your punches.
If you want to check your paystub, go to Kroger.com, hr express and log in with your employee ID.
as the poster above mentioned, you can check it on kronos with the inquiry feature. not sure if every kronos time clock is programmed the same at kroger, but it should be the button right under the one you press to ring in/out. be wary, however, it's not perfect. your best bet is to keep track of your own hours (unfortunately i have to resort to this quite frequently due to one of our shotty payroll people) so they don't screw you. ain't nothin worse than a short check!